Let x0 of type ι be given.
Let x1 of type ι → ι be given.
Claim L0: ∀ x2 x3 x4 . (λ x5 x6 . x6 = x1 x5) x2 x3 ⟶ (λ x5 x6 . x6 = x1 x5) x2 x4 ⟶ x3 = x4
Let x2 of type ι be given.
Let x3 of type ι be given.
Let x4 of type ι be given.
Assume H0: x3 = x1 x2.
Assume H1: x4 = x1 x2.
Apply H1 with
λ x5 x6 . x3 = x6.
The subproof is completed by applying H0.
Apply unknownprop_aaea0f1d3f5e853f0d3287d822ec5f356e024921388ea00672dad551690ba08f with
x0,
λ x2 x3 . x3 = x1 x2.
The subproof is completed by applying L0.