% Mizar problem: t46_algspec1,algspec1,1189,5 
fof(t46_algspec1, conjecture,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m2_algspec1(B, A) =>  (! [C] :  (m2_algspec1(C, B) => m2_algspec1(C, A)) ) ) ) ) ) ).
fof(cc6_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m1_instalg1(B, A) => v1_instalg1(B)) ) ) ) ).
fof(d5_algspec1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  ( (v1_instalg1(B) & l1_msualg_1(B))  =>  (m2_algspec1(B, A) <=> m1_instalg1(A, B)) ) ) ) ) ).
fof(dt_l1_msualg_1, axiom,  (! [A] :  (l1_msualg_1(A) => l5_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l5_struct_0, axiom,  (! [A] :  (l5_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_m1_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m1_instalg1(B, A) => l1_msualg_1(B)) ) ) ) ).
fof(dt_m2_algspec1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m2_algspec1(B, A) =>  (v1_instalg1(B) & l1_msualg_1(B)) ) ) ) ) ).
fof(existence_l1_msualg_1, axiom,  (? [A] : l1_msualg_1(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l5_struct_0, axiom,  (? [A] : l5_struct_0(A)) ).
fof(existence_m1_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (? [B] : m1_instalg1(B, A)) ) ) ).
fof(existence_m2_algspec1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (? [B] : m2_algspec1(B, A)) ) ) ).
fof(t16_instalg1, axiom,  (! [A] :  ( (v1_instalg1(A) & l1_msualg_1(A))  =>  (! [B] :  (m1_instalg1(B, A) =>  (! [C] :  (m1_instalg1(C, B) => m1_instalg1(C, A)) ) ) ) ) ) ).
