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Proof step 14 from proof to-to-leq-inf (previous step)

n0 ≤ #(nf to n0), ∀ m, nf. m ≤ n0 → (nf to n0) to m = nf to m ⊦ ((nf to n0) to n0) + ((nf to n0) + nf(n0) ')[n0] ' = nf to n0 + 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
∀ m, nf. m ≤ n0 → (nf to n0) to m = nf to m ⊦ ((nf to n0) to n0) + ((nf to n0) + nf(n0) ')[n0] ' = nf to n0 + 1

Rule argument

Additional information

Used simplifier rules: size-inf-to: ⊦ #(nf to n) = n;%ler: ⊦ m ≤ m; from specification nat