Search for blocks/addresses/...

Proofgold Proof

pf
Let x0 of type ι → ο be given.
Assume H0: x0 0.
Assume H1: x0 1.
Assume H2: ∀ x1 . nat_p x1 ⟶ x0 (ordsucc (ordsucc x1)).
Apply nat_inv_impred with x0 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply nat_ind with λ x1 . x0 (ordsucc x1) leaving 2 subgoals.
The subproof is completed by applying H1.
Let x1 of type ι be given.
Assume H3: nat_p x1.
Assume H4: x0 (ordsucc x1).
Apply H2 with x1.
The subproof is completed by applying H3.
■