Let x0 of type ι be given.
Assume H1: x0 = 0 ⟶ ∀ x1 : ο . x1.
Apply mul_SNo_com with
recip_SNo x0,
x0,
λ x1 x2 . x2 = 1 leaving 3 subgoals.
Apply SNo_recip_SNo with
x0.
The subproof is completed by applying H0.
The subproof is completed by applying H0.
Apply recip_SNo_invR with
x0 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.