Search for blocks/addresses/...

Proofgold Proof

pf
Apply In_ind with λ x0 . ∀ x1 x2 . prim1 x0 x1 ⟶ prim1 x1 x2 ⟶ nIn x2 x0.
Let x0 of type ι be given.
Assume H0: ∀ x1 . prim1 x1 x0 ⟶ ∀ x2 x3 . prim1 x1 x2 ⟶ prim1 x2 x3 ⟶ nIn x3 x1.
Let x1 of type ι be given.
Let x2 of type ι be given.
Assume H1: prim1 x0 x1.
Assume H2: prim1 x1 x2.
Assume H3: prim1 x2 x0.
Apply H0 with x2, x0, x1 leaving 4 subgoals.
The subproof is completed by applying H3.
The subproof is completed by applying H3.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
■