Let m, n and d be given.
Assume H.
Apply H to the current goal.
Assume H.
Apply H to the current goal.
Assume H1: divides_int d m.
Assume H2: divides_int d n.
Assume H3: ∀d', divides_int d' mdivides_int d' nd' d.
We will prove divides_int d n divides_int d m ∀d', divides_int d' ndivides_int d' md' d.
Apply and3I to the current goal.
An exact proof term for the current goal is H2.
An exact proof term for the current goal is H1.
Let d' be given.
Assume H4 H5.
Apply H3 to the current goal.
An exact proof term for the current goal is H5.
An exact proof term for the current goal is H4.