% Mizar ND problem: t2_csspace,csspace,231,64 
thf(existence_m2_subset_1, plain,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) ) ) )  =>  (? [C: $i] :  ( ( (m2_subset_1 @ C)  @ A)  @ B) ) ) ) , file(subset_1, m2_subset_1), [interesting(np__0.9), axiom, file(subset_1, m2_subset_1)]).
thf(redefinition_m2_subset_1, definition,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) ) ) )  =>  (! [C: $i] :  ( ( ( (m2_subset_1 @ C)  @ A)  @ B)  <=>  ( (m1_subset_1 @ C)  @ B) ) ) ) ) , file(subset_1, m2_subset_1), [interesting(np__0.9), axiom, file(subset_1, m2_subset_1)]).
thf(dt_m2_subset_1, plain,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) ) ) )  =>  (! [C: $i] :  ( ( ( (m2_subset_1 @ C)  @ A)  @ B)  =>  ( (m1_subset_1 @ C)  @ A) ) ) ) ) , file(subset_1, m2_subset_1), [interesting(np__0.9), axiom, file(subset_1, m2_subset_1)]).
thf(cc23_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v2_valued_0 @ A)  &  (v5_valued_0 @ A) ) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v2_valued_0 @ A)  &  (v7_valued_0 @ A) ) ) ) ) ) , file(valued_0, cc23_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc23_valued_0)]).
thf(cc24_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v2_valued_0 @ A)  &  (v6_valued_0 @ A) ) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v2_valued_0 @ A)  &  (v8_valued_0 @ A) ) ) ) ) ) , file(valued_0, cc24_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc24_valued_0)]).
thf(rc3_valued_0, theorem,  (? [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k5_numbers)  @ k5_numbers) ) )  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( ( (v5_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( ( (v1_partfun1 @ A)  @ k5_numbers)  &  ( ( ( (v1_funct_2 @ A)  @ k5_numbers)  @ k5_numbers)  &  ( (v1_valued_0 @ A)  &  ( (v2_valued_0 @ A)  &  ( (v3_valued_0 @ A)  &  ( (v4_valued_0 @ A)  &  (v5_valued_0 @ A) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(valued_0, rc3_valued_0), [interesting(np__0.9), axiom, file(valued_0, rc3_valued_0)]).
thf(cc11_struct_0, theorem,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ( (v13_struct_0 @ A)  @ np__1)  =>  ( ~ ( (v2_struct_0 @ A) )  &  (v7_struct_0 @ A) ) ) ) ) , file(struct_0, cc11_struct_0), [interesting(np__0.9), axiom, file(struct_0, cc11_struct_0)]).
thf(cc11_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v2_valued_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v2_valued_0 @ B) ) ) ) ) , file(valued_0, cc11_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc11_valued_0)]).
thf(cc13_membered, theorem,  (! [A: $i] :  ( (v2_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_xxreal_0 @ B) ) ) ) ) , file(membered, cc13_membered), [interesting(np__0.9), axiom, file(membered, cc13_membered)]).
thf(cc15_membered, theorem,  (! [A: $i] :  ( (v4_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_rat_1 @ B) ) ) ) ) , file(membered, cc15_membered), [interesting(np__0.9), axiom, file(membered, cc15_membered)]).
thf(cc17_valued_0, theorem,  (! [A: $i, B: $i] :  ( (v2_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v2_valued_0 @ C) ) ) ) ) , file(valued_0, cc17_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc17_valued_0)]).
thf(cc19_valued_0, theorem,  (! [A: $i, B: $i] :  ( (v4_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( (v5_relat_1 @ C)  @ k3_numbers) ) ) ) ) , file(valued_0, cc19_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc19_valued_0)]).
thf(cc20_membered, theorem,  (! [A: $i] :  ( (v2_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v2_membered @ B) ) ) ) ) , file(membered, cc20_membered), [interesting(np__0.9), axiom, file(membered, cc20_membered)]).
thf(cc22_membered, theorem,  (! [A: $i] :  ( (v4_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v4_membered @ B) ) ) ) ) , file(membered, cc22_membered), [interesting(np__0.9), axiom, file(membered, cc22_membered)]).
thf(cc22_valued_0, theorem,  (! [A: $i] :  ( ( (v1_zfmisc_1 @ A)  &  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_valued_0 @ A) ) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v2_valued_0 @ A)  &  ( (v5_valued_0 @ A)  &  (v6_valued_0 @ A) ) ) ) ) ) ) , file(valued_0, cc22_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc22_valued_0)]).
thf(cc3_membered, theorem,  (! [A: $i] :  ( (v4_membered @ A)  =>  (v3_membered @ A) ) ) , file(membered, cc3_membered), [interesting(np__0.9), axiom, file(membered, cc3_membered)]).
thf(cc3_xxreal_0, theorem,  (! [A: $i] :  ( ( (v1_xxreal_0 @ A)  &  (v2_xxreal_0 @ A) )  =>  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_xxreal_0 @ A)  &  ~ ( (v3_xxreal_0 @ A) ) ) ) ) ) , file(xxreal_0, cc3_xxreal_0), [interesting(np__0.9), axiom, file(xxreal_0, cc3_xxreal_0)]).
thf(cc4_xxreal_0, theorem,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_xxreal_0 @ A)  &  ~ ( (v3_xxreal_0 @ A) ) ) )  =>  ( (v1_xxreal_0 @ A)  &  (v2_xxreal_0 @ A) ) ) ) , file(xxreal_0, cc4_xxreal_0), [interesting(np__0.9), axiom, file(xxreal_0, cc4_xxreal_0)]).
thf(cc5_xxreal_0, theorem,  (! [A: $i] :  ( ( (v1_xxreal_0 @ A)  &  (v3_xxreal_0 @ A) )  =>  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_xxreal_0 @ A)  &  ~ ( (v2_xxreal_0 @ A) ) ) ) ) ) , file(xxreal_0, cc5_xxreal_0), [interesting(np__0.9), axiom, file(xxreal_0, cc5_xxreal_0)]).
thf(cc6_xxreal_0, theorem,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_xxreal_0 @ A)  &  ~ ( (v2_xxreal_0 @ A) ) ) )  =>  ( (v1_xxreal_0 @ A)  &  (v3_xxreal_0 @ A) ) ) ) , file(xxreal_0, cc6_xxreal_0), [interesting(np__0.9), axiom, file(xxreal_0, cc6_xxreal_0)]).
thf(cc8_xxreal_0, theorem,  (! [A: $i] :  ( ( (v1_xxreal_0 @ A)  &  ( ~ ( (v2_xxreal_0 @ A) )  &  ~ ( (v3_xxreal_0 @ A) ) ) )  =>  ( (v1_xboole_0 @ A)  &  (v1_xxreal_0 @ A) ) ) ) , file(xxreal_0, cc8_xxreal_0), [interesting(np__0.9), axiom, file(xxreal_0, cc8_xxreal_0)]).
thf(fc10_membered, theorem,  (! [A: $i] :  ( (v1_rat_1 @ A)  =>  (v4_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc10_membered), [interesting(np__0.9), axiom, file(membered, fc10_membered)]).
thf(fc11_membered, theorem,  (! [A: $i] :  ( (v1_int_1 @ A)  =>  (v5_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc11_membered), [interesting(np__0.9), axiom, file(membered, fc11_membered)]).
thf(fc15_membered, theorem,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v3_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc15_membered), [interesting(np__0.9), axiom, file(membered, fc15_membered)]).
thf(fc16_membered, theorem,  (! [A: $i, B: $i] :  ( ( (v1_rat_1 @ A)  &  (v1_rat_1 @ B) )  =>  (v4_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc16_membered), [interesting(np__0.9), axiom, file(membered, fc16_membered)]).
thf(fc17_membered, theorem,  (! [A: $i, B: $i] :  ( ( (v1_int_1 @ A)  &  (v1_int_1 @ B) )  =>  (v5_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc17_membered), [interesting(np__0.9), axiom, file(membered, fc17_membered)]).
thf(fc62_valued_0, theorem,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_valued_0 @ A) ) )  =>  (v1_xxreal_0 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc62_valued_0), [interesting(np__0.9), axiom, file(valued_0, fc62_valued_0)]).
thf(fc86_valued_0, theorem,  (! [A: $i, B: $i] :  ( (v2_membered @ B)  =>  (v2_valued_0 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) , file(valued_0, fc86_valued_0), [interesting(np__0.9), axiom, file(valued_0, fc86_valued_0)]).
thf(fc88_valued_0, theorem,  (! [A: $i, B: $i] :  ( (v4_membered @ B)  =>  ( (v5_relat_1 @  ( (k2_zfmisc_1 @ A)  @ B) )  @ k3_numbers) ) ) , file(valued_0, fc88_valued_0), [interesting(np__0.9), axiom, file(valued_0, fc88_valued_0)]).
thf(fc9_membered, theorem,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (v3_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc9_membered), [interesting(np__0.9), axiom, file(membered, fc9_membered)]).
thf(fc9_valued_1, theorem,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_membered @ B) )  &  ( ( ~ ( (v1_xboole_0 @ C) )  &  (v4_membered @ C) )  &  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ C)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k1_valued_1 @ D)  @ E) )  &  ( (v1_partfun1 @  ( (k1_valued_1 @ D)  @ E) )  @ A) ) ) ) , file(valued_1, fc9_valued_1), [interesting(np__0.9), axiom, file(valued_1, fc9_valued_1)]).
thf(rc2_xxreal_0, theorem,  (? [A: $i] :  ( (v1_xxreal_0 @ A)  &  (v2_xxreal_0 @ A) ) ) , file(xxreal_0, rc2_xxreal_0), [interesting(np__0.9), axiom, file(xxreal_0, rc2_xxreal_0)]).
thf(rc3_xxreal_0, theorem,  (? [A: $i] :  ( (v1_xxreal_0 @ A)  &  (v3_xxreal_0 @ A) ) ) , file(xxreal_0, rc3_xxreal_0), [interesting(np__0.9), axiom, file(xxreal_0, rc3_xxreal_0)]).
thf(rc5_valued_1, theorem,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( ( (v5_relat_1 @ B)  @ k3_numbers)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ A)  &  ( (v1_valued_0 @ B)  &  ( (v2_valued_0 @ B)  &  ( (v3_valued_0 @ B)  &  (v4_valued_0 @ B) ) ) ) ) ) ) ) ) ) ) , file(valued_1, rc5_valued_1), [interesting(np__0.9), axiom, file(valued_1, rc5_valued_1)]).
thf(spc1_boole, theorem,  ~ ( (v1_xboole_0 @ np__1) ) , file(boole, spc1_boole), [interesting(np__0.9), axiom, file(boole, spc1_boole)]).
thf(spc1_numerals, theorem,  ( ( (v2_xxreal_0 @ np__1)  &  ( ( (m2_subset_1 @ np__1)  @ k1_numbers)  @ k5_numbers) )  &  ( ( (m1_subset_1 @ np__1)  @ k5_numbers)  &  ( (m1_subset_1 @ np__1)  @ k1_numbers) ) ) , file(numerals, spc1_numerals), [interesting(np__0.9), axiom, file(numerals, spc1_numerals)]).
thf(commutativity_k2_tarski, theorem,  (! [A: $i, B: $i] :  ( (= @  ( (k2_tarski @ A)  @ B) )  @  ( (k2_tarski @ B)  @ A) ) ) , file(tarski, k2_tarski), [interesting(np__0.9), axiom, file(tarski, k2_tarski)]).
thf(existence_l2_struct_0, plain,  (? [A: $i] :  (l2_struct_0 @ A) ) , file(struct_0, l2_struct_0), [interesting(np__0.9), axiom, file(struct_0, l2_struct_0)]).
thf(dt_k1_tarski, plain, $true, file(tarski, k1_tarski), [interesting(np__0.9), axiom, file(tarski, k1_tarski)]).
thf(dt_k2_tarski, plain, $true, file(tarski, k2_tarski), [interesting(np__0.9), axiom, file(tarski, k2_tarski)]).
thf(dt_k3_numbers, plain, $true, file(numbers, k3_numbers), [interesting(np__0.9), axiom, file(numbers, k3_numbers)]).
thf(dt_k4_numbers, plain, $true, file(numbers, k4_numbers), [interesting(np__0.9), axiom, file(numbers, k4_numbers)]).
thf(dt_l2_struct_0, plain,  (! [A: $i] :  ( (l2_struct_0 @ A)  =>  (l1_struct_0 @ A) ) ) , file(struct_0, l2_struct_0), [interesting(np__0.9), axiom, file(struct_0, l2_struct_0)]).
thf(cc10_membered, theorem,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ k4_numbers) )  =>  (v5_membered @ A) ) ) , file(membered, cc10_membered), [interesting(np__0.9), axiom, file(membered, cc10_membered)]).
thf(cc10_struct_0, theorem,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ( ~ ( (v2_struct_0 @ A) )  &  (v7_struct_0 @ A) )  =>  ( (v13_struct_0 @ A)  @ np__1) ) ) ) , file(struct_0, cc10_struct_0), [interesting(np__0.9), axiom, file(struct_0, cc10_struct_0)]).
thf(cc12_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v3_valued_0 @ B) ) ) ) ) , file(valued_0, cc12_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc12_valued_0)]).
thf(cc13_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k3_numbers) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ( (v5_relat_1 @ B)  @ k3_numbers) ) ) ) ) , file(valued_0, cc13_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc13_valued_0)]).
thf(cc14_membered, theorem,  (! [A: $i] :  ( (v3_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_xreal_0 @ B) ) ) ) ) , file(membered, cc14_membered), [interesting(np__0.9), axiom, file(membered, cc14_membered)]).
thf(cc14_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k4_numbers) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ( (v5_relat_1 @ B)  @ k4_numbers) ) ) ) ) , file(valued_0, cc14_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc14_valued_0)]).
thf(cc16_membered, theorem,  (! [A: $i] :  ( (v5_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_int_1 @ B) ) ) ) ) , file(membered, cc16_membered), [interesting(np__0.9), axiom, file(membered, cc16_membered)]).
thf(cc17_struct_0, theorem,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ~ ( (v7_struct_0 @ A) )  =>  ~ ( (v2_struct_0 @ A) ) ) ) ) , file(struct_0, cc17_struct_0), [interesting(np__0.9), axiom, file(struct_0, cc17_struct_0)]).
thf(cc18_valued_0, theorem,  (! [A: $i, B: $i] :  ( (v3_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v3_valued_0 @ C) ) ) ) ) , file(valued_0, cc18_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc18_valued_0)]).
thf(cc20_valued_0, theorem,  (! [A: $i, B: $i] :  ( (v5_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( (v5_relat_1 @ C)  @ k4_numbers) ) ) ) ) , file(valued_0, cc20_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc20_valued_0)]).
thf(cc21_membered, theorem,  (! [A: $i] :  ( (v3_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v3_membered @ B) ) ) ) ) , file(membered, cc21_membered), [interesting(np__0.9), axiom, file(membered, cc21_membered)]).
thf(cc23_membered, theorem,  (! [A: $i] :  ( (v5_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v5_membered @ B) ) ) ) ) , file(membered, cc23_membered), [interesting(np__0.9), axiom, file(membered, cc23_membered)]).
thf(cc2_membered, theorem,  (! [A: $i] :  ( (v5_membered @ A)  =>  (v4_membered @ A) ) ) , file(membered, cc2_membered), [interesting(np__0.9), axiom, file(membered, cc2_membered)]).
thf(cc2_ordinal1, theorem,  (! [A: $i] :  ( ( (v1_ordinal1 @ A)  &  (v2_ordinal1 @ A) )  =>  (v3_ordinal1 @ A) ) ) , file(ordinal1, cc2_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, cc2_ordinal1)]).
thf(cc2_struct_0, theorem,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ~ ( (v7_struct_0 @ A) )  =>  ~ ( (v2_struct_0 @ A) ) ) ) ) , file(struct_0, cc2_struct_0), [interesting(np__0.9), axiom, file(struct_0, cc2_struct_0)]).
thf(cc2_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k4_numbers) )  =>  ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k3_numbers) ) ) ) , file(valued_0, cc2_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc2_valued_0)]).
thf(cc3_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k4_numbers) )  =>  ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) ) ) ) , file(valued_0, cc3_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc3_valued_0)]).
thf(cc4_membered, theorem,  (! [A: $i] :  ( (v3_membered @ A)  =>  (v2_membered @ A) ) ) , file(membered, cc4_membered), [interesting(np__0.9), axiom, file(membered, cc4_membered)]).
thf(cc4_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k3_numbers) )  =>  ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) ) ) ) , file(valued_0, cc4_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc4_valued_0)]).
thf(cc5_membered, theorem,  (! [A: $i] :  ( (v3_membered @ A)  =>  (v1_membered @ A) ) ) , file(membered, cc5_membered), [interesting(np__0.9), axiom, file(membered, cc5_membered)]).
thf(cc5_struct_0, theorem,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ~ ( (v8_struct_0 @ A) )  =>  ( ~ ( (v2_struct_0 @ A) )  &  ~ ( (v8_struct_0 @ A) ) ) ) ) ) , file(struct_0, cc5_struct_0), [interesting(np__0.9), axiom, file(struct_0, cc5_struct_0)]).
thf(cc5_subset_1, theorem,  (! [A: $i] :  ( (v1_zfmisc_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_zfmisc_1 @ B) ) ) ) ) , file(subset_1, cc5_subset_1), [interesting(np__0.9), axiom, file(subset_1, cc5_subset_1)]).
thf(cc5_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v2_valued_0 @ A) ) ) ) , file(valued_0, cc5_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc5_valued_0)]).
thf(cc6_funct_1, theorem,  (! [A: $i] :  ( ( (v1_zfmisc_1 @ A)  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_funct_1 @ A) ) ) ) ) , file(funct_1, cc6_funct_1), [interesting(np__0.9), axiom, file(funct_1, cc6_funct_1)]).
thf(cc6_struct_0, theorem,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( (v7_struct_0 @ A)  =>  (v8_struct_0 @ A) ) ) ) , file(struct_0, cc6_struct_0), [interesting(np__0.9), axiom, file(struct_0, cc6_struct_0)]).
thf(cc6_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v1_valued_0 @ A) ) ) ) , file(valued_0, cc6_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc6_valued_0)]).
thf(cc7_struct_0, theorem,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ~ ( (v8_struct_0 @ A) )  =>  ~ ( (v7_struct_0 @ A) ) ) ) ) , file(struct_0, cc7_struct_0), [interesting(np__0.9), axiom, file(struct_0, cc7_struct_0)]).
thf(cc7_xxreal_0, theorem,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  (v1_xxreal_0 @ A) )  =>  ( (v1_xxreal_0 @ A)  &  ( ~ ( (v2_xxreal_0 @ A) )  &  ~ ( (v3_xxreal_0 @ A) ) ) ) ) ) , file(xxreal_0, cc7_xxreal_0), [interesting(np__0.9), axiom, file(xxreal_0, cc7_xxreal_0)]).
thf(cc9_membered, theorem,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ k3_numbers) )  =>  (v4_membered @ A) ) ) , file(membered, cc9_membered), [interesting(np__0.9), axiom, file(membered, cc9_membered)]).
thf(cc9_struct_0, theorem,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ( (v13_struct_0 @ A)  @ k1_xboole_0)  =>  (v2_struct_0 @ A) ) ) ) , file(struct_0, cc9_struct_0), [interesting(np__0.9), axiom, file(struct_0, cc9_struct_0)]).
thf(fc10_valued_1, theorem,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v5_membered @ B) )  &  ( ( ~ ( (v1_xboole_0 @ C) )  &  (v5_membered @ C) )  &  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ C)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k1_valued_1 @ D)  @ E) )  &  ( (v1_partfun1 @  ( (k1_valued_1 @ D)  @ E) )  @ A) ) ) ) , file(valued_1, fc10_valued_1), [interesting(np__0.9), axiom, file(valued_1, fc10_valued_1)]).
thf(fc12_membered, theorem,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v6_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc12_membered), [interesting(np__0.9), axiom, file(membered, fc12_membered)]).
thf(fc13_membered, theorem,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  (v1_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc13_membered), [interesting(np__0.9), axiom, file(membered, fc13_membered)]).
thf(fc14_funct_1, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  (v4_funct_1 @  (k1_tarski @ A) ) ) ) , file(funct_1, fc14_funct_1), [interesting(np__0.9), axiom, file(funct_1, fc14_funct_1)]).
thf(fc14_membered, theorem,  (! [A: $i, B: $i] :  ( ( (v1_xxreal_0 @ A)  &  (v1_xxreal_0 @ B) )  =>  (v2_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc14_membered), [interesting(np__0.9), axiom, file(membered, fc14_membered)]).
thf(fc15_funct_1, theorem,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  &  ( (v1_relat_1 @ B)  &  (v1_funct_1 @ B) ) )  =>  (v4_funct_1 @  ( (k2_tarski @ A)  @ B) ) ) ) , file(funct_1, fc15_funct_1), [interesting(np__0.9), axiom, file(funct_1, fc15_funct_1)]).
thf(fc18_membered, theorem,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  (v7_ordinal1 @ B) )  =>  (v6_membered @  ( (k2_tarski @ A)  @ B) ) ) ) , file(membered, fc18_membered), [interesting(np__0.9), axiom, file(membered, fc18_membered)]).
thf(fc1_funct_1, theorem,  (! [A: $i, B: $i] :  (v1_funct_1 @  (k1_tarski @  ( (k4_tarski @ A)  @ B) ) ) ) , file(funct_1, fc1_funct_1), [interesting(np__0.9), axiom, file(funct_1, fc1_funct_1)]).
thf(fc2_xboole_0, theorem,  (! [A: $i] :  ~ ( (v1_xboole_0 @  (k1_tarski @ A) ) ) ) , file(xboole_0, fc2_xboole_0), [interesting(np__0.9), axiom, file(xboole_0, fc2_xboole_0)]).
thf(fc3_numbers, theorem,  ~ ( (v1_xboole_0 @ k3_numbers) ) , file(numbers, fc3_numbers), [interesting(np__0.9), axiom, file(numbers, fc3_numbers)]).
thf(fc3_valued_1, theorem,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_valued_0 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v3_valued_0 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k1_valued_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k1_valued_1 @ A)  @ B) )  &  (v3_valued_0 @  ( (k1_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc3_valued_1), [interesting(np__0.9), axiom, file(valued_1, fc3_valued_1)]).
thf(fc3_xboole_0, theorem,  (! [A: $i, B: $i] :  ~ ( (v1_xboole_0 @  ( (k2_tarski @ A)  @ B) ) ) ) , file(xboole_0, fc3_xboole_0), [interesting(np__0.9), axiom, file(xboole_0, fc3_xboole_0)]).
thf(fc4_membered, theorem,  (v4_membered @ k3_numbers) , file(membered, fc4_membered), [interesting(np__0.9), axiom, file(membered, fc4_membered)]).
thf(fc4_numbers, theorem,  ~ ( (v1_xboole_0 @ k4_numbers) ) , file(numbers, fc4_numbers), [interesting(np__0.9), axiom, file(numbers, fc4_numbers)]).
thf(fc4_valued_1, theorem,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k3_numbers)  &  (v1_funct_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ k3_numbers)  &  (v1_funct_1 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k1_valued_1 @ A)  @ B) )  &  ( ( (v5_relat_1 @  ( (k1_valued_1 @ A)  @ B) )  @ k3_numbers)  &  (v1_funct_1 @  ( (k1_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc4_valued_1), [interesting(np__0.9), axiom, file(valued_1, fc4_valued_1)]).
thf(fc57_membered, theorem,  (v7_membered @ k3_numbers) , file(membered, fc57_membered), [interesting(np__0.9), axiom, file(membered, fc57_membered)]).
thf(fc58_membered, theorem,  (v7_membered @ k4_numbers) , file(membered, fc58_membered), [interesting(np__0.9), axiom, file(membered, fc58_membered)]).
thf(fc5_membered, theorem,  (v5_membered @ k4_numbers) , file(membered, fc5_membered), [interesting(np__0.9), axiom, file(membered, fc5_membered)]).
thf(fc5_valued_1, theorem,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k4_numbers)  &  (v1_funct_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ k4_numbers)  &  (v1_funct_1 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k1_valued_1 @ A)  @ B) )  &  ( ( (v5_relat_1 @  ( (k1_valued_1 @ A)  @ B) )  @ k4_numbers)  &  (v1_funct_1 @  ( (k1_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc5_valued_1), [interesting(np__0.9), axiom, file(valued_1, fc5_valued_1)]).
thf(fc63_valued_0, theorem,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_valued_0 @ A) ) )  =>  (v1_xreal_0 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc63_valued_0), [interesting(np__0.9), axiom, file(valued_0, fc63_valued_0)]).
thf(fc64_valued_0, theorem,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k3_numbers)  &  (v1_funct_1 @ A) ) )  =>  (v1_rat_1 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc64_valued_0), [interesting(np__0.9), axiom, file(valued_0, fc64_valued_0)]).
thf(fc65_valued_0, theorem,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k4_numbers)  &  (v1_funct_1 @ A) ) )  =>  (v1_int_1 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc65_valued_0), [interesting(np__0.9), axiom, file(valued_0, fc65_valued_0)]).
thf(fc6_numbers, theorem,  ~ ( (v1_finset_1 @ k4_numbers) ) , file(numbers, fc6_numbers), [interesting(np__0.9), axiom, file(numbers, fc6_numbers)]).
thf(fc6_struct_0, theorem,  (! [A: $i] :  ( ( ~ ( (v7_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  ~ ( (v1_zfmisc_1 @  (u1_struct_0 @ A) ) ) ) ) , file(struct_0, fc6_struct_0), [interesting(np__0.9), axiom, file(struct_0, fc6_struct_0)]).
thf(fc7_membered, theorem,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (v1_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc7_membered), [interesting(np__0.9), axiom, file(membered, fc7_membered)]).
thf(fc7_numbers, theorem,  ~ ( (v1_finset_1 @ k3_numbers) ) , file(numbers, fc7_numbers), [interesting(np__0.9), axiom, file(numbers, fc7_numbers)]).
thf(fc7_struct_0, theorem,  (! [A: $i] :  ( ( (v7_struct_0 @ A)  &  (l1_struct_0 @ A) )  =>  (v1_zfmisc_1 @  (u1_struct_0 @ A) ) ) ) , file(struct_0, fc7_struct_0), [interesting(np__0.9), axiom, file(struct_0, fc7_struct_0)]).
thf(fc87_valued_0, theorem,  (! [A: $i, B: $i] :  ( (v3_membered @ B)  =>  (v3_valued_0 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) , file(valued_0, fc87_valued_0), [interesting(np__0.9), axiom, file(valued_0, fc87_valued_0)]).
thf(fc89_valued_0, theorem,  (! [A: $i, B: $i] :  ( (v5_membered @ B)  =>  ( (v5_relat_1 @  ( (k2_zfmisc_1 @ A)  @ B) )  @ k4_numbers) ) ) , file(valued_0, fc89_valued_0), [interesting(np__0.9), axiom, file(valued_0, fc89_valued_0)]).
thf(fc8_membered, theorem,  (! [A: $i] :  ( (v1_xxreal_0 @ A)  =>  (v2_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc8_membered), [interesting(np__0.9), axiom, file(membered, fc8_membered)]).
thf(fc8_struct_0, theorem,  (! [A: $i] :  ( ( (v8_struct_0 @ A)  &  (l1_struct_0 @ A) )  =>  (v1_finset_1 @  (u1_struct_0 @ A) ) ) ) , file(struct_0, fc8_struct_0), [interesting(np__0.9), axiom, file(struct_0, fc8_struct_0)]).
thf(fc8_valued_1, theorem,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v3_membered @ B) )  &  ( ( ~ ( (v1_xboole_0 @ C) )  &  (v3_membered @ C) )  &  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ C)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k1_valued_1 @ D)  @ E) )  &  ( (v1_partfun1 @  ( (k1_valued_1 @ D)  @ E) )  @ A) ) ) ) , file(valued_1, fc8_valued_1), [interesting(np__0.9), axiom, file(valued_1, fc8_valued_1)]).
thf(fc9_struct_0, theorem,  (! [A: $i] :  ( ( ~ ( (v8_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  ~ ( (v1_finset_1 @  (u1_struct_0 @ A) ) ) ) ) , file(struct_0, fc9_struct_0), [interesting(np__0.9), axiom, file(struct_0, fc9_struct_0)]).
thf(rc1_xxreal_0, theorem,  (? [A: $i] :  (v1_xxreal_0 @ A) ) , file(xxreal_0, rc1_xxreal_0), [interesting(np__0.9), axiom, file(xxreal_0, rc1_xxreal_0)]).
thf(rc20_struct_0, theorem,  (? [A: $i] :  ( (l2_struct_0 @ A)  &  ( ~ ( (v2_struct_0 @ A) )  &  (v7_struct_0 @ A) ) ) ) , file(struct_0, rc20_struct_0), [interesting(np__0.9), axiom, file(struct_0, rc20_struct_0)]).
thf(rc21_struct_0, theorem,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_zfmisc_1 @ B) ) ) ) ) ) , file(struct_0, rc21_struct_0), [interesting(np__0.9), axiom, file(struct_0, rc21_struct_0)]).
thf(rc22_struct_0, theorem,  (! [A: $i] :  ( ( ~ ( (v7_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) )  &  ~ ( (v1_zfmisc_1 @ B) ) ) ) ) ) , file(struct_0, rc22_struct_0), [interesting(np__0.9), axiom, file(struct_0, rc22_struct_0)]).
thf(rc2_ordinal1, theorem,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_ordinal1 @ A)  &  ( (v2_ordinal1 @ A)  &  (v3_ordinal1 @ A) ) ) ) ) , file(ordinal1, rc2_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, rc2_ordinal1)]).
thf(rc2_valued_0, theorem,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k3_numbers)  &  ( ( (v5_relat_1 @ A)  @ k4_numbers)  &  ( (v1_funct_1 @ A)  &  ( (v3_funct_1 @ A)  &  (v4_valued_0 @ A) ) ) ) ) ) ) ) , file(valued_0, rc2_valued_0), [interesting(np__0.9), axiom, file(valued_0, rc2_valued_0)]).
thf(rc4_xxreal_0, theorem,  (? [A: $i] :  ( (v1_xboole_0 @ A)  &  (v1_xxreal_0 @ A) ) ) , file(xxreal_0, rc4_xxreal_0), [interesting(np__0.9), axiom, file(xxreal_0, rc4_xxreal_0)]).
thf(rc5_subset_1, theorem,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_zfmisc_1 @ B) ) ) ) ) ) , file(subset_1, rc5_subset_1), [interesting(np__0.9), axiom, file(subset_1, rc5_subset_1)]).
thf(rc6_subset_1, theorem,  (! [A: $i] :  ( ~ ( (v1_zfmisc_1 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ~ ( (v1_zfmisc_1 @ B) ) ) ) ) ) , file(subset_1, rc6_subset_1), [interesting(np__0.9), axiom, file(subset_1, rc6_subset_1)]).
thf(antisymmetry_r2_hidden, theorem,  (! [A: $i, B: $i] :  ( ( (r2_hidden @ A)  @ B)  =>  ~ ( ( (r2_hidden @ B)  @ A) ) ) ) , file(hidden, r2_hidden), [interesting(np__0.9), axiom, file(hidden, r2_hidden)]).
thf(existence_l2_algstr_0, plain,  (? [A: $i] :  (l2_algstr_0 @ A) ) , file(algstr_0, l2_algstr_0), [interesting(np__0.9), axiom, file(algstr_0, l2_algstr_0)]).
thf(dt_k1_funct_1, plain, $true, file(funct_1, k1_funct_1), [interesting(np__0.9), axiom, file(funct_1, k1_funct_1)]).
thf(dt_k1_numbers, plain, $true, file(numbers, k1_numbers), [interesting(np__0.9), axiom, file(numbers, k1_numbers)]).
thf(dt_k1_xboole_0, plain, $true, file(xboole_0, k1_xboole_0), [interesting(np__0.9), axiom, file(xboole_0, k1_xboole_0)]).
thf(dt_k4_ordinal1, plain, $true, file(ordinal1, k4_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, k4_ordinal1)]).
thf(dt_k4_tarski, plain, $true, file(tarski, k4_tarski), [interesting(np__0.9), axiom, file(tarski, k4_tarski)]).
thf(dt_l2_algstr_0, plain,  (! [A: $i] :  ( (l2_algstr_0 @ A)  =>  ( (l2_struct_0 @ A)  &  (l1_algstr_0 @ A) ) ) ) , file(algstr_0, l2_algstr_0), [interesting(np__0.9), axiom, file(algstr_0, l2_algstr_0)]).
thf(dt_u1_clvect_1, plain,  (! [A: $i] :  ( (l1_clvect_1 @ A)  =>  ( (v1_funct_1 @  (u1_clvect_1 @ A) )  &  ( ( ( (v1_funct_2 @  (u1_clvect_1 @ A) )  @  ( (k2_zfmisc_1 @ k2_numbers)  @  (u1_struct_0 @ A) ) )  @  (u1_struct_0 @ A) )  &  ( (m1_subset_1 @  (u1_clvect_1 @ A) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ k2_numbers)  @  (u1_struct_0 @ A) ) )  @  (u1_struct_0 @ A) ) ) ) ) ) ) ) , file(clvect_1, u1_clvect_1), [interesting(np__0.9), axiom, file(clvect_1, u1_clvect_1)]).
thf(dt_u2_struct_0, plain,  (! [A: $i] :  ( (l2_struct_0 @ A)  =>  ( (m1_subset_1 @  (u2_struct_0 @ A) )  @  (u1_struct_0 @ A) ) ) ) , file(struct_0, u2_struct_0), [interesting(np__0.9), axiom, file(struct_0, u2_struct_0)]).
thf(cc10_ordinal1, theorem,  (! [A: $i] :  ( (v6_ordinal1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v6_ordinal1 @ B) ) ) ) ) , file(ordinal1, cc10_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, cc10_ordinal1)]).
thf(cc10_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_valued_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_valued_0 @ B) ) ) ) ) , file(valued_0, cc10_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc10_valued_0)]).
thf(cc15_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v4_valued_0 @ B) ) ) ) ) , file(valued_0, cc15_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc15_valued_0)]).
thf(cc17_membered, theorem,  (! [A: $i] :  ( (v6_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v7_ordinal1 @ B) ) ) ) ) , file(membered, cc17_membered), [interesting(np__0.9), axiom, file(membered, cc17_membered)]).
thf(cc1_membered, theorem,  (! [A: $i] :  ( (v6_membered @ A)  =>  (v5_membered @ A) ) ) , file(membered, cc1_membered), [interesting(np__0.9), axiom, file(membered, cc1_membered)]).
thf(cc1_ordinal1, theorem,  (! [A: $i] :  ( (v3_ordinal1 @ A)  =>  ( (v1_ordinal1 @ A)  &  (v2_ordinal1 @ A) ) ) ) , file(ordinal1, cc1_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, cc1_ordinal1)]).
thf(cc1_struct_0, theorem,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( (v2_struct_0 @ A)  =>  (v7_struct_0 @ A) ) ) ) , file(struct_0, cc1_struct_0), [interesting(np__0.9), axiom, file(struct_0, cc1_struct_0)]).
thf(cc1_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k4_numbers) ) ) ) , file(valued_0, cc1_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc1_valued_0)]).
thf(cc1_xcmplx_0, theorem,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k1_numbers)  =>  (v1_xcmplx_0 @ A) ) ) , file(xcmplx_0, cc1_xcmplx_0), [interesting(np__0.9), axiom, file(xcmplx_0, cc1_xcmplx_0)]).
thf(cc21_valued_0, theorem,  (! [A: $i, B: $i] :  ( (v6_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v4_valued_0 @ C) ) ) ) ) , file(valued_0, cc21_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc21_valued_0)]).
thf(cc24_membered, theorem,  (! [A: $i] :  ( (v6_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v6_membered @ B) ) ) ) ) , file(membered, cc24_membered), [interesting(np__0.9), axiom, file(membered, cc24_membered)]).
thf(cc2_subset_1, theorem,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ( ~ ( ( (v1_subset_1 @ B)  @ A) )  =>  ~ ( (v1_xboole_0 @ B) ) ) ) ) ) ) , file(subset_1, cc2_subset_1), [interesting(np__0.9), axiom, file(subset_1, cc2_subset_1)]).
thf(cc2_xcmplx_0, theorem,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_xcmplx_0 @ A) ) ) , file(xcmplx_0, cc2_xcmplx_0), [interesting(np__0.9), axiom, file(xcmplx_0, cc2_xcmplx_0)]).
thf(cc2_xxreal_0, theorem,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_xxreal_0 @ A) ) ) , file(xxreal_0, cc2_xxreal_0), [interesting(np__0.9), axiom, file(xxreal_0, cc2_xxreal_0)]).
thf(cc30_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k1_numbers) )  =>  ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) ) ) ) , file(valued_0, cc30_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc30_valued_0)]).
thf(cc4_struct_0, theorem,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( (v2_struct_0 @ A)  =>  ( (v2_struct_0 @ A)  &  (v8_struct_0 @ A) ) ) ) ) , file(struct_0, cc4_struct_0), [interesting(np__0.9), axiom, file(struct_0, cc4_struct_0)]).
thf(cc5_funct_1, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ~ ( (v3_funct_1 @ A) ) ) )  =>  ( ~ ( (v1_zfmisc_1 @ A) )  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) ) ) ) , file(funct_1, cc5_funct_1), [interesting(np__0.9), axiom, file(funct_1, cc5_funct_1)]).
thf(cc5_ordinal1, theorem,  (! [A: $i] :  ( (v3_ordinal1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v3_ordinal1 @ B) ) ) ) ) , file(ordinal1, cc5_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, cc5_ordinal1)]).
thf(cc6_ordinal1, theorem,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v3_ordinal1 @ A) ) ) , file(ordinal1, cc6_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, cc6_ordinal1)]).
thf(cc7_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k3_numbers) ) ) ) , file(valued_0, cc7_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc7_valued_0)]).
thf(cc8_funct_1, theorem,  (! [A: $i] :  ( (v4_funct_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  ( (v1_relat_1 @ B)  &  (v1_funct_1 @ B) ) ) ) ) ) , file(funct_1, cc8_funct_1), [interesting(np__0.9), axiom, file(funct_1, cc8_funct_1)]).
thf(cc8_membered, theorem,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ k1_numbers) )  =>  (v3_membered @ A) ) ) , file(membered, cc8_membered), [interesting(np__0.9), axiom, file(membered, cc8_membered)]).
thf(cc8_ordinal1, theorem,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k4_ordinal1)  =>  (v7_ordinal1 @ A) ) ) , file(ordinal1, cc8_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, cc8_ordinal1)]).
thf(cc8_struct_0, theorem,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( (v2_struct_0 @ A)  =>  ( (v13_struct_0 @ A)  @ k1_xboole_0) ) ) ) , file(struct_0, cc8_struct_0), [interesting(np__0.9), axiom, file(struct_0, cc8_struct_0)]).
thf(cc8_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) ) ) ) , file(valued_0, cc8_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc8_valued_0)]).
thf(cc9_funct_1, theorem,  (! [A: $i] :  ( (v4_funct_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v4_funct_1 @ B) ) ) ) ) , file(funct_1, cc9_funct_1), [interesting(np__0.9), axiom, file(funct_1, cc9_funct_1)]).
thf(fc11_valued_1, theorem,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v6_membered @ B) )  &  ( ( ~ ( (v1_xboole_0 @ C) )  &  (v6_membered @ C) )  &  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ C)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k1_valued_1 @ D)  @ E) )  &  ( (v1_partfun1 @  ( (k1_valued_1 @ D)  @ E) )  @ A) ) ) ) , file(valued_1, fc11_valued_1), [interesting(np__0.9), axiom, file(valued_1, fc11_valued_1)]).
thf(fc125_valued_1, theorem,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_valued_0 @ B) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  (v1_valued_0 @ C) ) ) ) )  =>  ( (v1_relat_1 @  ( (k1_valued_1 @ B)  @ C) )  &  ( ( (v4_relat_1 @  ( (k1_valued_1 @ B)  @ C) )  @ A)  &  (v1_funct_1 @  ( (k1_valued_1 @ B)  @ C) ) ) ) ) ) , file(valued_1, fc125_valued_1), [interesting(np__0.9), axiom, file(valued_1, fc125_valued_1)]).
thf(fc129_valued_1, theorem,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ A)  &  (v1_valued_0 @ B) ) ) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( ( (v1_partfun1 @ C)  @ A)  &  (v1_valued_0 @ C) ) ) ) ) )  =>  ( (v1_relat_1 @  ( (k1_valued_1 @ B)  @ C) )  &  ( (v1_funct_1 @  ( (k1_valued_1 @ B)  @ C) )  &  ( (v1_partfun1 @  ( (k1_valued_1 @ B)  @ C) )  @ A) ) ) ) ) , file(valued_1, fc129_valued_1), [interesting(np__0.9), axiom, file(valued_1, fc129_valued_1)]).
thf(fc17_funct_1, theorem,  (! [A: $i, B: $i, C: $i] :  ( ( (v4_funct_1 @ A)  &  ( (v1_relat_1 @ C)  &  ( ( (v5_relat_1 @ C)  @ A)  &  (v1_funct_1 @ C) ) ) )  =>  ( (v1_relat_1 @  ( (k1_funct_1 @ C)  @ B) )  &  (v1_funct_1 @  ( (k1_funct_1 @ C)  @ B) ) ) ) ) , file(funct_1, fc17_funct_1), [interesting(np__0.9), axiom, file(funct_1, fc17_funct_1)]).
thf(fc1_numbers, theorem,  ~ ( (v1_xboole_0 @ k1_numbers) ) , file(numbers, fc1_numbers), [interesting(np__0.9), axiom, file(numbers, fc1_numbers)]).
thf(fc1_struct_0, theorem,  (! [A: $i] :  ( ( (v2_struct_0 @ A)  &  (l1_struct_0 @ A) )  =>  (v1_xboole_0 @  (u1_struct_0 @ A) ) ) ) , file(struct_0, fc1_struct_0), [interesting(np__0.9), axiom, file(struct_0, fc1_struct_0)]).
thf(fc1_xboole_0, theorem,  (v1_xboole_0 @ k1_xboole_0) , file(xboole_0, fc1_xboole_0), [interesting(np__0.9), axiom, file(xboole_0, fc1_xboole_0)]).
thf(fc2_struct_0, theorem,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  ~ ( (v1_xboole_0 @  (u1_struct_0 @ A) ) ) ) ) , file(struct_0, fc2_struct_0), [interesting(np__0.9), axiom, file(struct_0, fc2_struct_0)]).
thf(fc2_valued_1, theorem,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_valued_0 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k1_valued_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k1_valued_1 @ A)  @ B) )  &  (v1_valued_0 @  ( (k1_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc2_valued_1), [interesting(np__0.9), axiom, file(valued_1, fc2_valued_1)]).
thf(fc3_membered, theorem,  (v3_membered @ k1_numbers) , file(membered, fc3_membered), [interesting(np__0.9), axiom, file(membered, fc3_membered)]).
thf(fc56_membered, theorem,  (v7_membered @ k1_numbers) , file(membered, fc56_membered), [interesting(np__0.9), axiom, file(membered, fc56_membered)]).
thf(fc59_membered, theorem,  (v7_membered @ k4_ordinal1) , file(membered, fc59_membered), [interesting(np__0.9), axiom, file(membered, fc59_membered)]).
thf(fc61_valued_0, theorem,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  =>  (v1_xcmplx_0 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc61_valued_0), [interesting(np__0.9), axiom, file(valued_0, fc61_valued_0)]).
thf(fc66_valued_0, theorem,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v4_valued_0 @ A) ) )  =>  (v7_ordinal1 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc66_valued_0), [interesting(np__0.9), axiom, file(valued_0, fc66_valued_0)]).
thf(fc6_membered, theorem,  (v6_membered @ k4_ordinal1) , file(membered, fc6_membered), [interesting(np__0.9), axiom, file(membered, fc6_membered)]).
thf(fc6_ordinal1, theorem,  ( ~ ( (v1_xboole_0 @ k4_ordinal1) )  &  (v3_ordinal1 @ k4_ordinal1) ) , file(ordinal1, fc6_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, fc6_ordinal1)]).
thf(fc6_valued_1, theorem,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v4_valued_0 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v4_valued_0 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k1_valued_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k1_valued_1 @ A)  @ B) )  &  (v4_valued_0 @  ( (k1_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc6_valued_1), [interesting(np__0.9), axiom, file(valued_1, fc6_valued_1)]).
thf(fc8_numbers, theorem,  ~ ( (v1_finset_1 @ k1_numbers) ) , file(numbers, fc8_numbers), [interesting(np__0.9), axiom, file(numbers, fc8_numbers)]).
thf(fc90_valued_0, theorem,  (! [A: $i, B: $i] :  ( (v6_membered @ B)  =>  (v4_valued_0 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) , file(valued_0, fc90_valued_0), [interesting(np__0.9), axiom, file(valued_0, fc90_valued_0)]).
thf(rc1_membered, theorem,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v6_membered @ A) ) ) , file(membered, rc1_membered), [interesting(np__0.9), axiom, file(membered, rc1_membered)]).
thf(rc1_ordinal1, theorem,  (? [A: $i] :  (v3_ordinal1 @ A) ) , file(ordinal1, rc1_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, rc1_ordinal1)]).
thf(rc1_valued_0, theorem,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v4_valued_0 @ A) ) ) ) , file(valued_0, rc1_valued_0), [interesting(np__0.9), axiom, file(valued_0, rc1_valued_0)]).
thf(rc2_clvect_1, theorem,  (? [A: $i] :  ( (l1_clvect_1 @ A)  &  ~ ( (v2_struct_0 @ A) ) ) ) , file(clvect_1, rc2_clvect_1), [interesting(np__0.9), axiom, file(clvect_1, rc2_clvect_1)]).
thf(rc2_funct_1, theorem,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_funct_1 @ A) ) ) ) , file(funct_1, rc2_funct_1), [interesting(np__0.9), axiom, file(funct_1, rc2_funct_1)]).
thf(rc2_membered, theorem,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v6_membered @ A) ) ) , file(membered, rc2_membered), [interesting(np__0.9), axiom, file(membered, rc2_membered)]).
thf(rc3_membered, theorem,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v6_membered @ A)  &  (v7_membered @ A) ) ) ) , file(membered, rc3_membered), [interesting(np__0.9), axiom, file(membered, rc3_membered)]).
thf(rc3_ordinal1, theorem,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  (v5_ordinal1 @ B) ) ) ) ) ) , file(ordinal1, rc3_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, rc3_ordinal1)]).
thf(rc3_subset_1, theorem,  (! [A: $i] :  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ~ ( ( (v1_subset_1 @ B)  @ A) ) ) ) ) , file(subset_1, rc3_subset_1), [interesting(np__0.9), axiom, file(subset_1, rc3_subset_1)]).
thf(rc4_ordinal1, theorem,  (? [A: $i] :  (v7_ordinal1 @ A) ) , file(ordinal1, rc4_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, rc4_ordinal1)]).
thf(rc4_struct_0, theorem,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) )  &  ~ ( (v1_xboole_0 @ B) ) ) ) ) ) , file(struct_0, rc4_struct_0), [interesting(np__0.9), axiom, file(struct_0, rc4_struct_0)]).
thf(rc4_subset_1, theorem,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ( (v1_subset_1 @ B)  @ A) ) ) ) ) , file(subset_1, rc4_subset_1), [interesting(np__0.9), axiom, file(subset_1, rc4_subset_1)]).
thf(rc4_valued_0, theorem,  (! [A: $i] :  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k5_numbers)  @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ k5_numbers)  &  ( ( (v5_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( (v3_funct_1 @ B)  &  ( ( (v1_funct_2 @ B)  @ k5_numbers)  @ A) ) ) ) ) ) ) ) ) , file(valued_0, rc4_valued_0), [interesting(np__0.9), axiom, file(valued_0, rc4_valued_0)]).
thf(rc5_funct_1, theorem,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ~ ( (v3_funct_1 @ A) ) ) ) ) , file(funct_1, rc5_funct_1), [interesting(np__0.9), axiom, file(funct_1, rc5_funct_1)]).
thf(rc5_ordinal1, theorem,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v7_ordinal1 @ A) ) ) , file(ordinal1, rc5_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, rc5_ordinal1)]).
thf(rc6_valued_0, theorem,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ A)  &  (v4_valued_0 @ B) ) ) ) ) ) ) , file(valued_0, rc6_valued_0), [interesting(np__0.9), axiom, file(valued_0, rc6_valued_0)]).
thf(rc7_funct_1, theorem,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v4_funct_1 @ A) ) ) , file(funct_1, rc7_funct_1), [interesting(np__0.9), axiom, file(funct_1, rc7_funct_1)]).
thf(t1_numerals, theorem,  ( (m1_subset_1 @ k1_xboole_0)  @ k4_ordinal1) , file(numerals, t1_numerals), [interesting(np__0.9), axiom, file(numerals, t1_numerals)]).
thf(t1_subset, theorem,  (! [A: $i] :  (! [B: $i] :  ( ( (r2_hidden @ A)  @ B)  =>  ( (m1_subset_1 @ A)  @ B) ) ) ) , file(subset, t1_subset), [interesting(np__0.9), axiom, file(subset, t1_subset)]).
thf(t4_subset, theorem,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ( ( ( (r2_hidden @ A)  @ B)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ C) ) )  =>  ( (m1_subset_1 @ A)  @ C) ) ) ) ) , file(subset, t4_subset), [interesting(np__0.9), axiom, file(subset, t4_subset)]).
thf(t5_subset, theorem,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ~ ( ( ( (r2_hidden @ A)  @ B)  &  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ C) )  &  (v1_xboole_0 @ C) ) ) ) ) ) ) , file(subset, t5_subset), [interesting(np__0.9), axiom, file(subset, t5_subset)]).
thf(d5_tarski, definition,  (! [A: $i] :  (! [B: $i] :  ( (= @  ( (k4_tarski @ A)  @ B) )  @  ( (k2_tarski @  ( (k2_tarski @ A)  @ B) )  @  (k1_tarski @ A) ) ) ) ) , file(tarski, d5_tarski), [interesting(np__0.9), axiom, file(tarski, d5_tarski)]).
thf(commutativity_k1_valued_1, theorem,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_valued_0 @ B) ) ) )  =>  ( (= @  ( (k1_valued_1 @ A)  @ B) )  @  ( (k1_valued_1 @ B)  @ A) ) ) ) , file(valued_1, k1_valued_1), [interesting(np__0.9), axiom, file(valued_1, k1_valued_1)]).
thf(reflexivity_r1_tarski, theorem,  (! [A: $i, B: $i] :  ( (r1_tarski @ A)  @ A) ) , file(tarski, r1_tarski), [interesting(np__0.9), axiom, file(tarski, r1_tarski)]).
thf(abstractness_v1_clvect_1, theorem,  (! [A: $i] :  ( (l1_clvect_1 @ A)  =>  ( (v1_clvect_1 @ A)  =>  ( (= @ A)  @  ( ( ( (g1_clvect_1 @  (u1_struct_0 @ A) )  @  (u2_struct_0 @ A) )  @  (u1_algstr_0 @ A) )  @  (u1_clvect_1 @ A) ) ) ) ) ) , file(clvect_1, v1_clvect_1), [interesting(np__0.9), axiom, file(clvect_1, v1_clvect_1)]).
thf(existence_l1_algstr_0, plain,  (? [A: $i] :  (l1_algstr_0 @ A) ) , file(algstr_0, l1_algstr_0), [interesting(np__0.9), axiom, file(algstr_0, l1_algstr_0)]).
thf(existence_l1_clvect_1, plain,  (? [A: $i] :  (l1_clvect_1 @ A) ) , file(clvect_1, l1_clvect_1), [interesting(np__0.9), axiom, file(clvect_1, l1_clvect_1)]).
thf(existence_l1_struct_0, plain,  (? [A: $i] :  (l1_struct_0 @ A) ) , file(struct_0, l1_struct_0), [interesting(np__0.9), axiom, file(struct_0, l1_struct_0)]).
thf(redefinition_k5_numbers, definition,  ( (= @ k5_numbers)  @ k4_ordinal1) , file(numbers, k5_numbers), [interesting(np__0.9), axiom, file(numbers, k5_numbers)]).
thf(dt_k1_binop_1, plain, $true, file(binop_1, k1_binop_1), [interesting(np__0.9), axiom, file(binop_1, k1_binop_1)]).
thf(dt_k1_valued_1, plain,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_valued_0 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k1_valued_1 @ A)  @ B) )  &  (v1_funct_1 @  ( (k1_valued_1 @ A)  @ B) ) ) ) ) , file(valued_1, k1_valued_1), [interesting(np__0.9), axiom, file(valued_1, k1_valued_1)]).
thf(dt_k5_numbers, plain,  ( (m1_subset_1 @ k5_numbers)  @  (k1_zfmisc_1 @ k1_numbers) ) , file(numbers, k5_numbers), [interesting(np__0.9), axiom, file(numbers, k5_numbers)]).
thf(dt_l1_algstr_0, plain,  (! [A: $i] :  ( (l1_algstr_0 @ A)  =>  (l1_struct_0 @ A) ) ) , file(algstr_0, l1_algstr_0), [interesting(np__0.9), axiom, file(algstr_0, l1_algstr_0)]).
thf(dt_l1_clvect_1, plain,  (! [A: $i] :  ( (l1_clvect_1 @ A)  =>  (l2_algstr_0 @ A) ) ) , file(clvect_1, l1_clvect_1), [interesting(np__0.9), axiom, file(clvect_1, l1_clvect_1)]).
thf(dt_l1_struct_0, plain, $true, file(struct_0, l1_struct_0), [interesting(np__0.9), axiom, file(struct_0, l1_struct_0)]).
thf(dt_u1_algstr_0, plain,  (! [A: $i] :  ( (l1_algstr_0 @ A)  =>  ( (v1_funct_1 @  (u1_algstr_0 @ A) )  &  ( ( ( (v1_funct_2 @  (u1_algstr_0 @ A) )  @  ( (k2_zfmisc_1 @  (u1_struct_0 @ A) )  @  (u1_struct_0 @ A) ) )  @  (u1_struct_0 @ A) )  &  ( (m1_subset_1 @  (u1_algstr_0 @ A) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @  (u1_struct_0 @ A) )  @  (u1_struct_0 @ A) ) )  @  (u1_struct_0 @ A) ) ) ) ) ) ) ) , file(algstr_0, u1_algstr_0), [interesting(np__0.9), axiom, file(algstr_0, u1_algstr_0)]).
thf(cc11_membered, theorem,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ k5_numbers) )  =>  (v6_membered @ A) ) ) , file(membered, cc11_membered), [interesting(np__0.9), axiom, file(membered, cc11_membered)]).
thf(cc12_membered, theorem,  (! [A: $i] :  ( (v1_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_xcmplx_0 @ B) ) ) ) ) , file(membered, cc12_membered), [interesting(np__0.9), axiom, file(membered, cc12_membered)]).
thf(cc16_valued_0, theorem,  (! [A: $i, B: $i] :  ( (v1_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v1_valued_0 @ C) ) ) ) ) , file(valued_0, cc16_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc16_valued_0)]).
thf(cc18_membered, theorem,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v6_membered @ A) ) ) , file(membered, cc18_membered), [interesting(np__0.9), axiom, file(membered, cc18_membered)]).
thf(cc19_membered, theorem,  (! [A: $i] :  ( (v1_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_membered @ B) ) ) ) ) , file(membered, cc19_membered), [interesting(np__0.9), axiom, file(membered, cc19_membered)]).
thf(cc1_funct_1, theorem,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v1_funct_1 @ A) ) ) , file(funct_1, cc1_funct_1), [interesting(np__0.9), axiom, file(funct_1, cc1_funct_1)]).
thf(cc1_funct_2, theorem,  (! [A: $i, B: $i] :  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( (v1_partfun1 @ C)  @ A)  =>  ( ( (v1_funct_2 @ C)  @ A)  @ B) ) ) ) ) , file(funct_2, cc1_funct_2), [interesting(np__0.9), axiom, file(funct_2, cc1_funct_2)]).
thf(cc1_subset_1, theorem,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_xboole_0 @ B) ) ) ) ) , file(subset_1, cc1_subset_1), [interesting(np__0.9), axiom, file(subset_1, cc1_subset_1)]).
thf(cc25_membered, theorem,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k5_numbers)  =>  (v6_membered @ A) ) ) , file(membered, cc25_membered), [interesting(np__0.9), axiom, file(membered, cc25_membered)]).
thf(cc26_membered, theorem,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v7_membered @ A) ) ) , file(membered, cc26_membered), [interesting(np__0.9), axiom, file(membered, cc26_membered)]).
thf(cc28_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k2_numbers) )  =>  ( (v1_relat_1 @ A)  &  (v1_valued_0 @ A) ) ) ) , file(valued_0, cc28_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc28_valued_0)]).
thf(cc2_funct_1, theorem,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_funct_1 @ A) ) ) ) ) , file(funct_1, cc2_funct_1), [interesting(np__0.9), axiom, file(funct_1, cc2_funct_1)]).
thf(cc2_funct_2, theorem,  (! [A: $i, B: $i] :  ( (v1_xboole_0 @ A)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  =>  ( (v1_partfun1 @ C)  @ A) ) ) ) ) ) , file(funct_2, cc2_funct_2), [interesting(np__0.9), axiom, file(funct_2, cc2_funct_2)]).
thf(cc31_valued_0, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k5_numbers) )  =>  ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) ) ) ) , file(valued_0, cc31_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc31_valued_0)]).
thf(cc3_funct_1, theorem,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_funct_1 @ B) ) ) ) ) , file(funct_1, cc3_funct_1), [interesting(np__0.9), axiom, file(funct_1, cc3_funct_1)]).
thf(cc3_funct_2, theorem,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  =>  ( (v1_partfun1 @ C)  @ A) ) ) ) ) ) , file(funct_2, cc3_funct_2), [interesting(np__0.9), axiom, file(funct_2, cc3_funct_2)]).
thf(cc3_ordinal1, theorem,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v3_ordinal1 @ A) ) ) , file(ordinal1, cc3_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, cc3_ordinal1)]).
thf(cc3_relset_1, theorem,  (! [A: $i, B: $i] :  ( (v1_xboole_0 @ A)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v1_xboole_0 @ C) ) ) ) ) , file(relset_1, cc3_relset_1), [interesting(np__0.9), axiom, file(relset_1, cc3_relset_1)]).
thf(cc3_subset_1, theorem,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ( (v1_xboole_0 @ B)  =>  ( (v1_subset_1 @ B)  @ A) ) ) ) ) ) , file(subset_1, cc3_subset_1), [interesting(np__0.9), axiom, file(subset_1, cc3_subset_1)]).
thf(cc4_funct_1, theorem,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_funct_1 @ A) ) ) ) ) , file(funct_1, cc4_funct_1), [interesting(np__0.9), axiom, file(funct_1, cc4_funct_1)]).
thf(cc4_ordinal1, theorem,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v5_ordinal1 @ A) ) ) , file(ordinal1, cc4_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, cc4_ordinal1)]).
thf(cc4_relset_1, theorem,  (! [A: $i, B: $i] :  ( (v1_xboole_0 @ A)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ B)  @ A) ) )  =>  (v1_xboole_0 @ C) ) ) ) ) , file(relset_1, cc4_relset_1), [interesting(np__0.9), axiom, file(relset_1, cc4_relset_1)]).
thf(cc4_subset_1, theorem,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ~ ( ( (v1_subset_1 @ B)  @ A) ) ) ) ) ) , file(subset_1, cc4_subset_1), [interesting(np__0.9), axiom, file(subset_1, cc4_subset_1)]).
thf(cc7_funct_1, theorem,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v4_funct_1 @ A) ) ) , file(funct_1, cc7_funct_1), [interesting(np__0.9), axiom, file(funct_1, cc7_funct_1)]).
thf(cc7_ordinal1, theorem,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v7_ordinal1 @ A) ) ) , file(ordinal1, cc7_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, cc7_ordinal1)]).
thf(cc8_funct_2, theorem,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( (v1_funct_1 @ C)  &  ( ( (v1_funct_2 @ C)  @ A)  @ B) )  =>  ( (v1_funct_1 @ C)  &  ( ~ ( (v1_xboole_0 @ C) )  &  ( ( (v1_funct_2 @ C)  @ A)  @ B) ) ) ) ) ) ) ) , file(funct_2, cc8_funct_2), [interesting(np__0.9), axiom, file(funct_2, cc8_funct_2)]).
thf(cc9_ordinal1, theorem,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v6_ordinal1 @ A) ) ) , file(ordinal1, cc9_ordinal1), [interesting(np__0.9), axiom, file(ordinal1, cc9_ordinal1)]).
thf(cc9_valued_0, theorem,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  (v1_relat_1 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) ) ) ) , file(valued_0, cc9_valued_0), [interesting(np__0.9), axiom, file(valued_0, cc9_valued_0)]).
thf(fc10_subset_1, theorem,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  ~ ( (v1_xboole_0 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) ) , file(subset_1, fc10_subset_1), [interesting(np__0.9), axiom, file(subset_1, fc10_subset_1)]).
thf(fc1_clvect_1, theorem,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (m1_subset_1 @ B)  @ A)  &  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @  ( (k2_zfmisc_1 @ A)  @ A) )  @ A)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ A) )  @ A) ) ) ) )  &  ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @  ( (k2_zfmisc_1 @ k2_numbers)  @ A) )  @ A)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ k2_numbers)  @ A) )  @ A) ) ) ) ) ) ) )  =>  ( ~ ( (v2_struct_0 @  ( ( ( (g1_clvect_1 @ A)  @ B)  @ C)  @ D) ) )  &  (v1_clvect_1 @  ( ( ( (g1_clvect_1 @ A)  @ B)  @ C)  @ D) ) ) ) ) , file(clvect_1, fc1_clvect_1), [interesting(np__0.9), axiom, file(clvect_1, fc1_clvect_1)]).
thf(fc7_valued_1, theorem,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v1_membered @ B) )  &  ( ( ~ ( (v1_xboole_0 @ C) )  &  (v1_membered @ C) )  &  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ C)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k1_valued_1 @ D)  @ E) )  &  ( (v1_partfun1 @  ( (k1_valued_1 @ D)  @ E) )  @ A) ) ) ) , file(valued_1, fc7_valued_1), [interesting(np__0.9), axiom, file(valued_1, fc7_valued_1)]).
thf(fc85_valued_0, theorem,  (! [A: $i, B: $i] :  ( (v1_membered @ B)  =>  (v1_valued_0 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) , file(valued_0, fc85_valued_0), [interesting(np__0.9), axiom, file(valued_0, fc85_valued_0)]).
thf(rc1_clvect_1, theorem,  (? [A: $i] :  ( (l1_clvect_1 @ A)  &  (v1_clvect_1 @ A) ) ) , file(clvect_1, rc1_clvect_1), [interesting(np__0.9), axiom, file(clvect_1, rc1_clvect_1)]).
thf(rc1_funct_1, theorem,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) ) ) , file(funct_1, rc1_funct_1), [interesting(np__0.9), axiom, file(funct_1, rc1_funct_1)]).
thf(rc1_funct_2, theorem,  (! [A: $i, B: $i] :  (? [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( ( (v5_relat_1 @ C)  @ B)  &  ( (v1_funct_1 @ C)  &  ( ( (v1_funct_2 @ C)  @ A)  @ B) ) ) ) ) ) ) ) , file(funct_2, rc1_funct_2), [interesting(np__0.9), axiom, file(funct_2, rc1_funct_2)]).
thf(rc1_relset_1, theorem,  (! [A: $i, B: $i] :  (? [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  &  ( (v1_xboole_0 @ C)  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v5_relat_1 @ C)  @ B) ) ) ) ) ) ) , file(relset_1, rc1_relset_1), [interesting(np__0.9), axiom, file(relset_1, rc1_relset_1)]).
thf(rc1_subset_1, theorem,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) ) ) ) ) , file(subset_1, rc1_subset_1), [interesting(np__0.9), axiom, file(subset_1, rc1_subset_1)]).
thf(rc1_xboole_0, theorem,  (? [A: $i] :  (v1_xboole_0 @ A) ) , file(xboole_0, rc1_xboole_0), [interesting(np__0.9), axiom, file(xboole_0, rc1_xboole_0)]).
thf(rc1_xcmplx_0, theorem,  (? [A: $i] :  (v1_xcmplx_0 @ A) ) , file(xcmplx_0, rc1_xcmplx_0), [interesting(np__0.9), axiom, file(xcmplx_0, rc1_xcmplx_0)]).
thf(rc2_subset_1, theorem,  (! [A: $i] :  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  (v1_xboole_0 @ B) ) ) ) , file(subset_1, rc2_subset_1), [interesting(np__0.9), axiom, file(subset_1, rc2_subset_1)]).
thf(rc2_valued_1, theorem,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ~ ( (v1_xboole_0 @ A) ) ) ) ) ) , file(valued_1, rc2_valued_1), [interesting(np__0.9), axiom, file(valued_1, rc2_valued_1)]).
thf(rc2_xboole_0, theorem,  (? [A: $i] :  ~ ( (v1_xboole_0 @ A) ) ) , file(xboole_0, rc2_xboole_0), [interesting(np__0.9), axiom, file(xboole_0, rc2_xboole_0)]).
thf(rc2_xcmplx_0, theorem,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_xcmplx_0 @ A) ) ) , file(xcmplx_0, rc2_xcmplx_0), [interesting(np__0.9), axiom, file(xcmplx_0, rc2_xcmplx_0)]).
thf(rc3_valued_1, theorem,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k5_numbers)  &  ( (v1_funct_1 @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_finset_1 @ A) ) ) ) ) ) , file(valued_1, rc3_valued_1), [interesting(np__0.9), axiom, file(valued_1, rc3_valued_1)]).
thf(rc6_funct_1, theorem,  (! [A: $i, B: $i] :  (? [C: $i] :  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( ( (v5_relat_1 @ C)  @ B)  &  (v1_funct_1 @ C) ) ) ) ) ) , file(funct_1, rc6_funct_1), [interesting(np__0.9), axiom, file(funct_1, rc6_funct_1)]).
thf(t2_subset, theorem,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_subset_1 @ A)  @ B)  =>  ( (v1_xboole_0 @ B)  |  ( (r2_hidden @ A)  @ B) ) ) ) ) , file(subset, t2_subset), [interesting(np__0.9), axiom, file(subset, t2_subset)]).
thf(t6_boole, theorem,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  ( (= @ A)  @ k1_xboole_0) ) ) , file(boole, t6_boole), [interesting(np__0.9), axiom, file(boole, t6_boole)]).
thf(t7_boole, theorem,  (! [A: $i] :  (! [B: $i] :  ~ ( ( ( (r2_hidden @ A)  @ B)  &  (v1_xboole_0 @ B) ) ) ) ) , file(boole, t7_boole), [interesting(np__0.9), axiom, file(boole, t7_boole)]).
thf(t8_boole, theorem,  (! [A: $i] :  (! [B: $i] :  ~ ( ( (v1_xboole_0 @ A)  &  ( ~ ( ( (= @ A)  @ B) )  &  (v1_xboole_0 @ B) ) ) ) ) ) , file(boole, t8_boole), [interesting(np__0.9), axiom, file(boole, t8_boole)]).
thf(d1_binop_1, definition,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  (! [B: $i] :  (! [C: $i] :  ( (= @  ( ( (k1_binop_1 @ A)  @ B)  @ C) )  @  ( (k1_funct_1 @ A)  @  ( (k4_tarski @ B)  @ C) ) ) ) ) ) ) , file(binop_1, d1_binop_1), [interesting(np__0.9), axiom, file(binop_1, d1_binop_1)]).
thf(free_g1_clvect_1, definition,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (m1_subset_1 @ B)  @ A)  &  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @  ( (k2_zfmisc_1 @ A)  @ A) )  @ A)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ A) )  @ A) ) ) ) )  &  ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @  ( (k2_zfmisc_1 @ k2_numbers)  @ A) )  @ A)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ k2_numbers)  @ A) )  @ A) ) ) ) ) ) )  =>  (! [E: $i, F: $i, G: $i, H: $i] :  ( ( (= @  ( ( ( (g1_clvect_1 @ A)  @ B)  @ C)  @ D) )  @  ( ( ( (g1_clvect_1 @ E)  @ F)  @ G)  @ H) )  =>  ( ( (= @ A)  @ E)  &  ( ( (= @ B)  @ F)  &  ( ( (= @ C)  @ G)  &  ( (= @ D)  @ H) ) ) ) ) ) ) ) , file(clvect_1, g1_clvect_1), [interesting(np__0.9), axiom, file(clvect_1, g1_clvect_1)]).
thf(commutativity_k1_series_1, theorem,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_membered @ A)  &  (v7_membered @ A) ) )  &  ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k5_numbers)  @ A)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k5_numbers)  @ A) ) ) ) )  &  ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ k5_numbers)  @ A)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k5_numbers)  @ A) ) ) ) ) ) )  =>  ( (= @  ( ( (k1_series_1 @ A)  @ B)  @ C) )  @  ( ( (k1_series_1 @ A)  @ C)  @ B) ) ) ) , file(series_1, k1_series_1), [interesting(np__0.9), axiom, file(series_1, k1_series_1)]).
thf(existence_m1_subset_1, plain,  (! [A: $i] :  (? [B: $i] :  ( (m1_subset_1 @ B)  @ A) ) ) , file(subset_1, m1_subset_1), [interesting(np__0.9), axiom, file(subset_1, m1_subset_1)]).
thf(redefinition_k1_series_1, definition,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_membered @ A)  &  (v7_membered @ A) ) )  &  ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k5_numbers)  @ A)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k5_numbers)  @ A) ) ) ) )  &  ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ k5_numbers)  @ A)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k5_numbers)  @ A) ) ) ) ) ) )  =>  ( (= @  ( ( (k1_series_1 @ A)  @ B)  @ C) )  @  ( (k1_valued_1 @ B)  @ C) ) ) ) , file(series_1, k1_series_1), [interesting(np__0.9), axiom, file(series_1, k1_series_1)]).
thf(redefinition_k5_binop_1, definition,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @  ( (k2_zfmisc_1 @ A)  @ A) )  @ A)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ A) )  @ A) ) ) ) )  &  ( ( (m1_subset_1 @ C)  @ A)  &  ( (m1_subset_1 @ D)  @ A) ) )  =>  ( (= @  ( ( ( (k5_binop_1 @ A)  @ B)  @ C)  @ D) )  @  ( ( (k1_binop_1 @ B)  @ C)  @ D) ) ) ) , file(binop_1, k5_binop_1), [interesting(np__0.9), axiom, file(binop_1, k5_binop_1)]).
thf(dt_g1_clvect_1, plain,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (m1_subset_1 @ B)  @ A)  &  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @  ( (k2_zfmisc_1 @ A)  @ A) )  @ A)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ A) )  @ A) ) ) ) )  &  ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @  ( (k2_zfmisc_1 @ k2_numbers)  @ A) )  @ A)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ k2_numbers)  @ A) )  @ A) ) ) ) ) ) )  =>  ( (v1_clvect_1 @  ( ( ( (g1_clvect_1 @ A)  @ B)  @ C)  @ D) )  &  (l1_clvect_1 @  ( ( ( (g1_clvect_1 @ A)  @ B)  @ C)  @ D) ) ) ) ) , file(clvect_1, g1_clvect_1), [interesting(np__0.9), axiom, file(clvect_1, g1_clvect_1)]).
thf(dt_k1_algstr_0, plain,  (! [A: $i, B: $i, C: $i] :  ( ( (l1_algstr_0 @ A)  &  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) ) ) )  =>  ( (m1_subset_1 @  ( ( (k1_algstr_0 @ A)  @ B)  @ C) )  @  (u1_struct_0 @ A) ) ) ) , file(algstr_0, k1_algstr_0), [interesting(np__0.9), axiom, file(algstr_0, k1_algstr_0)]).
thf(dt_k1_csspace, plain,  ~ ( (v1_xboole_0 @ k1_csspace) ) , file(csspace, k1_csspace), [interesting(np__0.9), axiom, file(csspace, k1_csspace)]).
thf(dt_k1_series_1, plain,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_membered @ A)  &  (v7_membered @ A) ) )  &  ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k5_numbers)  @ A)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k5_numbers)  @ A) ) ) ) )  &  ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ k5_numbers)  @ A)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k5_numbers)  @ A) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( ( (k1_series_1 @ A)  @ B)  @ C) )  &  ( ( ( (v1_funct_2 @  ( ( (k1_series_1 @ A)  @ B)  @ C) )  @ k5_numbers)  @ A)  &  ( (m1_subset_1 @  ( ( (k1_series_1 @ A)  @ B)  @ C) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k5_numbers)  @ A) ) ) ) ) ) ) , file(series_1, k1_series_1), [interesting(np__0.9), axiom, file(series_1, k1_series_1)]).
thf(dt_k1_zfmisc_1, plain, $true, file(zfmisc_1, k1_zfmisc_1), [interesting(np__0.9), axiom, file(zfmisc_1, k1_zfmisc_1)]).
thf(dt_k2_csspace, plain,  (! [A: $i] :  ( (v1_funct_1 @  (k2_csspace @ A) )  &  ( ( ( (v1_funct_2 @  (k2_csspace @ A) )  @ k5_numbers)  @ k2_numbers)  &  ( (m1_subset_1 @  (k2_csspace @ A) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k5_numbers)  @ k2_numbers) ) ) ) ) ) , file(csspace, k2_csspace), [interesting(np__0.9), axiom, file(csspace, k2_csspace)]).
thf(dt_k2_numbers, plain, $true, file(numbers, k2_numbers), [interesting(np__0.9), axiom, file(numbers, k2_numbers)]).
thf(dt_k2_zfmisc_1, plain, $true, file(zfmisc_1, k2_zfmisc_1), [interesting(np__0.9), axiom, file(zfmisc_1, k2_zfmisc_1)]).
thf(dt_k4_csspace, plain,  ( (v1_funct_1 @ k4_csspace)  &  ( ( ( (v1_funct_2 @ k4_csspace)  @  ( (k2_zfmisc_1 @ k1_csspace)  @ k1_csspace) )  @ k1_csspace)  &  ( (m1_subset_1 @ k4_csspace)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ k1_csspace)  @ k1_csspace) )  @ k1_csspace) ) ) ) ) , file(csspace, k4_csspace), [interesting(np__0.9), axiom, file(csspace, k4_csspace)]).
thf(dt_k5_binop_1, plain,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @  ( (k2_zfmisc_1 @ A)  @ A) )  @ A)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ A) )  @ A) ) ) ) )  &  ( ( (m1_subset_1 @ C)  @ A)  &  ( (m1_subset_1 @ D)  @ A) ) )  =>  ( (m1_subset_1 @  ( ( ( (k5_binop_1 @ A)  @ B)  @ C)  @ D) )  @ A) ) ) , file(binop_1, k5_binop_1), [interesting(np__0.9), axiom, file(binop_1, k5_binop_1)]).
thf(dt_k5_csspace, plain,  ( (v1_funct_1 @ k5_csspace)  &  ( ( ( (v1_funct_2 @ k5_csspace)  @  ( (k2_zfmisc_1 @ k2_numbers)  @ k1_csspace) )  @ k1_csspace)  &  ( (m1_subset_1 @ k5_csspace)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ k2_numbers)  @ k1_csspace) )  @ k1_csspace) ) ) ) ) , file(csspace, k5_csspace), [interesting(np__0.9), axiom, file(csspace, k5_csspace)]).
thf(dt_k6_csspace, plain,  ( (m1_subset_1 @ k6_csspace)  @ k1_csspace) , file(csspace, k6_csspace), [interesting(np__0.9), axiom, file(csspace, k6_csspace)]).
thf(dt_m1_subset_1, plain, $true, file(subset_1, m1_subset_1), [interesting(np__0.9), axiom, file(subset_1, m1_subset_1)]).
thf(dt_u1_struct_0, plain, $true, file(struct_0, u1_struct_0), [interesting(np__0.9), axiom, file(struct_0, u1_struct_0)]).
thf(cc1_relset_1, theorem,  (! [A: $i, B: $i] :  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v1_relat_1 @ C) ) ) ) , file(relset_1, cc1_relset_1), [interesting(np__0.9), axiom, file(relset_1, cc1_relset_1)]).
thf(cc2_relset_1, theorem,  (! [A: $i, B: $i] :  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v5_relat_1 @ C)  @ B) ) ) ) ) , file(relset_1, cc2_relset_1), [interesting(np__0.9), axiom, file(relset_1, cc2_relset_1)]).
thf(cc3_xcmplx_0, theorem,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k2_numbers)  =>  (v1_xcmplx_0 @ A) ) ) , file(xcmplx_0, cc3_xcmplx_0), [interesting(np__0.9), axiom, file(xcmplx_0, cc3_xcmplx_0)]).
thf(cc4_funct_2, theorem,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ A) ) )  =>  ( ( ( (v1_funct_2 @ B)  @ A)  @ A)  =>  ( (v1_partfun1 @ B)  @ A) ) ) ) ) , file(funct_2, cc4_funct_2), [interesting(np__0.9), axiom, file(funct_2, cc4_funct_2)]).
thf(cc6_membered, theorem,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ k2_numbers) )  =>  (v1_membered @ A) ) ) , file(membered, cc6_membered), [interesting(np__0.9), axiom, file(membered, cc6_membered)]).
thf(fc1_membered, theorem,  (v1_membered @ k2_numbers) , file(membered, fc1_membered), [interesting(np__0.9), axiom, file(membered, fc1_membered)]).
thf(fc1_subset_1, theorem,  (! [A: $i] :  ~ ( (v1_xboole_0 @  (k1_zfmisc_1 @ A) ) ) ) , file(subset_1, fc1_subset_1), [interesting(np__0.9), axiom, file(subset_1, fc1_subset_1)]).
thf(fc2_numbers, theorem,  ~ ( (v1_xboole_0 @ k2_numbers) ) , file(numbers, fc2_numbers), [interesting(np__0.9), axiom, file(numbers, fc2_numbers)]).
thf(fc55_membered, theorem,  (v7_membered @ k2_numbers) , file(membered, fc55_membered), [interesting(np__0.9), axiom, file(membered, fc55_membered)]).
thf(fc9_numbers, theorem,  ~ ( (v1_finset_1 @ k2_numbers) ) , file(numbers, fc9_numbers), [interesting(np__0.9), axiom, file(numbers, fc9_numbers)]).
thf(t3_subset, theorem,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ B) )  <=>  ( (r1_tarski @ A)  @ B) ) ) ) , file(subset, t3_subset), [interesting(np__0.9), axiom, file(subset, t3_subset)]).
thf(d1_algstr_0, definition,  (! [A: $i] :  ( (l1_algstr_0 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) )  =>  ( (= @  ( ( (k1_algstr_0 @ A)  @ B)  @ C) )  @  ( ( ( (k5_binop_1 @  (u1_struct_0 @ A) )  @  (u1_algstr_0 @ A) )  @ B)  @ C) ) ) ) ) ) ) ) , file(algstr_0, d1_algstr_0), [interesting(np__0.9), axiom, file(algstr_0, d1_algstr_0)]).
thf(d4_csspace, definition,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @  ( (k2_zfmisc_1 @ k1_csspace)  @ k1_csspace) )  @ k1_csspace)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ k1_csspace)  @ k1_csspace) )  @ k1_csspace) ) ) ) )  =>  ( ( (= @ A)  @ k4_csspace)  <=>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ k1_csspace)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @ k1_csspace)  =>  ( (= @  ( ( ( (k5_binop_1 @ k1_csspace)  @ A)  @ B)  @ C) )  @  ( ( (k1_series_1 @ k2_numbers)  @  (k2_csspace @ B) )  @  (k2_csspace @ C) ) ) ) ) ) ) ) ) ) , file(csspace, d4_csspace), [interesting(np__0.9), axiom, file(csspace, d4_csspace)]).
thf(t2_csspace, theorem,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (u1_struct_0 @  ( ( ( (g1_clvect_1 @ k1_csspace)  @ k6_csspace)  @ k4_csspace)  @ k5_csspace) ) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @  ( ( ( (g1_clvect_1 @ k1_csspace)  @ k6_csspace)  @ k4_csspace)  @ k5_csspace) ) )  =>  ( (= @  ( ( (k1_algstr_0 @  ( ( ( (g1_clvect_1 @ k1_csspace)  @ k6_csspace)  @ k4_csspace)  @ k5_csspace) )  @ A)  @ B) )  @  ( ( (k1_series_1 @ k2_numbers)  @  (k2_csspace @ A) )  @  (k2_csspace @ B) ) ) ) ) ) ) , inference(mizar_by, [status(thm), assumptions([])], [existence_m2_subset_1, redefinition_m2_subset_1, dt_m2_subset_1, cc23_valued_0, cc24_valued_0, rc3_valued_0, cc11_struct_0, cc11_valued_0, cc13_membered, cc15_membered, cc17_valued_0, cc19_valued_0, cc20_membered, cc22_membered, cc22_valued_0, cc3_membered, cc3_xxreal_0, cc4_xxreal_0, cc5_xxreal_0, cc6_xxreal_0, cc8_xxreal_0, fc10_membered, fc11_membered, fc15_membered, fc16_membered, fc17_membered, fc62_valued_0, fc86_valued_0, fc88_valued_0, fc9_membered, fc9_valued_1, rc2_xxreal_0, rc3_xxreal_0, rc5_valued_1, spc1_boole, spc1_boole, spc1_numerals, commutativity_k2_tarski, existence_l2_struct_0, dt_k1_tarski, dt_k2_tarski, dt_k3_numbers, dt_k4_numbers, dt_l2_struct_0, cc10_membered, cc10_struct_0, cc12_valued_0, cc13_valued_0, cc14_membered, cc14_valued_0, cc16_membered, cc17_struct_0, cc18_valued_0, cc20_valued_0, cc21_membered, cc23_membered, cc2_membered, cc2_ordinal1, cc2_struct_0, cc2_valued_0, cc3_valued_0, cc4_membered, cc4_valued_0, cc5_membered, cc5_struct_0, cc5_subset_1, cc5_valued_0, cc6_funct_1, cc6_struct_0, cc6_valued_0, cc7_struct_0, cc7_xxreal_0, cc9_membered, cc9_struct_0, fc10_valued_1, fc12_membered, fc13_membered, fc14_funct_1, fc14_membered, fc15_funct_1, fc18_membered, fc1_funct_1, fc2_xboole_0, fc3_numbers, fc3_valued_1, fc3_xboole_0, fc4_membered, fc4_numbers, fc4_valued_1, fc57_membered, fc58_membered, fc5_membered, fc5_valued_1, fc63_valued_0, fc64_valued_0, fc65_valued_0, fc6_numbers, fc6_struct_0, fc7_membered, fc7_numbers, fc7_struct_0, fc87_valued_0, fc89_valued_0, fc8_membered, fc8_struct_0, fc8_valued_1, fc9_struct_0, rc1_xxreal_0, rc20_struct_0, rc21_struct_0, rc22_struct_0, rc2_ordinal1, rc2_valued_0, rc4_xxreal_0, rc5_subset_1, rc6_subset_1, antisymmetry_r2_hidden, existence_l2_algstr_0, dt_k1_funct_1, dt_k1_numbers, dt_k1_xboole_0, dt_k4_ordinal1, dt_k4_tarski, dt_l2_algstr_0, dt_u1_clvect_1, dt_u2_struct_0, cc10_ordinal1, cc10_valued_0, cc15_valued_0, cc17_membered, cc1_membered, cc1_ordinal1, cc1_struct_0, cc1_valued_0, cc1_xcmplx_0, cc21_valued_0, cc24_membered, cc2_subset_1, cc2_xcmplx_0, cc2_xxreal_0, cc30_valued_0, cc4_struct_0, cc5_funct_1, cc5_ordinal1, cc6_ordinal1, cc7_valued_0, cc8_funct_1, cc8_membered, cc8_ordinal1, cc8_struct_0, cc8_valued_0, cc9_funct_1, fc11_valued_1, fc125_valued_1, fc129_valued_1, fc17_funct_1, fc1_numbers, fc1_struct_0, fc1_xboole_0, fc2_struct_0, fc2_valued_1, fc3_membered, fc56_membered, fc59_membered, fc61_valued_0, fc66_valued_0, fc6_membered, fc6_ordinal1, fc6_valued_1, fc8_numbers, fc90_valued_0, rc1_membered, rc1_ordinal1, rc1_valued_0, rc2_clvect_1, rc2_funct_1, rc2_membered, rc3_membered, rc3_ordinal1, rc3_subset_1, rc4_ordinal1, rc4_struct_0, rc4_subset_1, rc4_valued_0, rc5_funct_1, rc5_ordinal1, rc6_valued_0, rc7_funct_1, t1_numerals, t1_subset, t4_subset, t5_subset, d5_tarski, commutativity_k1_valued_1, reflexivity_r1_tarski, abstractness_v1_clvect_1, existence_l1_algstr_0, existence_l1_clvect_1, existence_l1_struct_0, redefinition_k5_numbers, dt_k1_binop_1, dt_k1_valued_1, dt_k5_numbers, dt_l1_algstr_0, dt_l1_clvect_1, dt_l1_struct_0, dt_u1_algstr_0, cc11_membered, cc12_membered, cc16_valued_0, cc18_membered, cc19_membered, cc1_funct_1, cc1_funct_2, cc1_subset_1, cc25_membered, cc26_membered, cc28_valued_0, cc2_funct_1, cc2_funct_2, cc31_valued_0, cc3_funct_1, cc3_funct_2, cc3_ordinal1, cc3_relset_1, cc3_subset_1, cc4_funct_1, cc4_ordinal1, cc4_relset_1, cc4_subset_1, cc7_funct_1, cc7_ordinal1, cc8_funct_2, cc9_ordinal1, cc9_valued_0, fc10_subset_1, fc1_clvect_1, fc7_valued_1, fc85_valued_0, rc1_clvect_1, rc1_funct_1, rc1_funct_2, rc1_relset_1, rc1_subset_1, rc1_xboole_0, rc1_xcmplx_0, rc2_subset_1, rc2_valued_1, rc2_xboole_0, rc2_xcmplx_0, rc3_valued_1, rc6_funct_1, t2_subset, t6_boole, t7_boole, t8_boole, d1_binop_1, free_g1_clvect_1, commutativity_k1_series_1, existence_m1_subset_1, redefinition_k1_series_1, redefinition_k5_binop_1, dt_g1_clvect_1, dt_k1_algstr_0, dt_k1_csspace, dt_k1_series_1, dt_k1_zfmisc_1, dt_k2_csspace, dt_k2_numbers, dt_k2_zfmisc_1, dt_k4_csspace, dt_k5_binop_1, dt_k5_csspace, dt_k6_csspace, dt_m1_subset_1, dt_u1_struct_0, cc1_relset_1, cc2_relset_1, cc3_xcmplx_0, cc4_funct_2, cc6_membered, fc1_membered, fc1_subset_1, fc2_numbers, fc55_membered, fc9_numbers, t3_subset, d1_algstr_0, d4_csspace]), [interesting(np__1), file(csspace, t2_csspace), [file(csspace, t2_csspace)]]).