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Proof step 53 from proof min-com (previous step)

¬ a < min(x3 + a0 ' + x), ∀ x1, x2. #(x1 + x2) < #((a + x3) + (a0 + x)) → true → x1 + x2 = [] ∨ min(x1 + x2) = min(x2 + x1) ⊦ min(x3 + a0 ' + x) = min((a0 ' + x) + a ' + x3)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 54:
∀ x1, x2. #(x1 + x2) < #((a + x3) + (a0 + x)) → true → x1 + x2 = [] ∨ min(x1 + x2) = min(x2 + x1) ⊦ min(x3 + a0 ' + x) = min((a0 ' + x) + a ' + x3), a < min(x3 + a0 ' + x)

Proof step 53 from proof min-com (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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