Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H2: x1 = 0 ⟶ ∀ x2 : ο . x2.
Apply mul_SNo_com with
x1,
div_SNo x0 x1,
λ x2 x3 . x3 = x0 leaving 3 subgoals.
The subproof is completed by applying H1.
Apply SNo_div_SNo with
x0,
x1 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply mul_div_SNo_invL with
x0,
x1 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.