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Proof step 20 from proof to-to-leq-inf (previous step)

∀ m, nf. m ≤ n0 → (nf to n0) to m = nf to m ⊦ ((nf to n0) to n0) + nf(n0) ' = (nf to n0) + nf(n0) '

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
∀ m, nf. m ≤ n0 → (nf to n0) to m = nf to m ⊦ (nf to n0) to n0 = nf to n0

Rule argument

Additional information

Used simplifier rules: a: ⊦ (x + y) + z = x + y + z; from specification list%app-03: ⊦ x + y = z + y ↔ x = z; from specification list