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Proof step 11 from proof mk-inj-01 (previous step)

mklist(a, m0) = mklist(a, m), n = m + 1, ∀ a, n. mklist(a, m0) = mklist(a, n) → m0 = n ⊦ m0 + 1 = n, n = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
mklist(a, m0) = mklist(a, m), ∀ a, n. mklist(a, m0) = mklist(a, n) → m0 = n ⊦ m0 = m

Rule argument

Additional information

Used simplifier rules: ⊦ m + n = m + n0 ↔ n = n0; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m + 1 ≠ 0; (s)