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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: SNo x0.
Assume H1: SNo x1.
Assume H2: x1 = 0∀ x2 : ο . x2.
Apply mul_div_SNo_R with x0, x1, x1, λ x2 x3 . x2 = x0 leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
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.