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Proof step 9 from proof mk-inj-01 (previous step)

a ' + mklist(a, m0) = a + mklist(a, n - 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 10:
mklist(a, m0) = mklist(a, n - 1), ∀ a, n. mklist(a, m0) = mklist(a, n) → m0 = n ⊦ m0 + 1 = n, n = 0

Rule argument

Additional information

Used simplifier rules: a: ⊦ (x + y) + z = x + y + z; from specification list% ⊦ x + y = x + z ↔ y = z; (s)% ⊦ a + x = a ' + x; (s)