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Proof step 11 from proof inject-n2s (previous step)

# n→s(m % 10) = # n→s(n % 10), n→s(m / 10) = n→s(n / 10) ∧ n→s(m % 10) = n→s(n % 10), 10 ≤ m, 10 ≤ n, ∀ m1, n. m1 < m → n→s(m1) = n→s(n) → m1 = n ⊦ m = n, m = 0, n = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
n→s(m / 10) = n→s(n / 10), n→s(m % 10) = n→s(n % 10), 10 ≤ m, 10 ≤ n, ∀ m1, n. m1 < m → n→s(m1) = n→s(n) → m1 = n ⊦ m = n, m = 0, n = 0

Rule argument

Additional information

Used simplifier rules: n2s-length-01: ⊦ # n→s(m % 10) = 1;