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Proof step 8 from proof weakmon-lem (previous step)

∀ m0, ii. m0 ≤ m1 ∧ (∀ m. ii(m) ≤ ii(m0)) ∧ (∀ n. ii(n) ≤ ii(n + 1)) → ii(m1) = ii(m0), m0 ≤ m1 +1, ∀ m. ii(m) ≤ ii(m0), ∀ n. ii(n) ≤ ii(n + 1) ⊦ ii(m1 +1) = ii(m0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
m0 ≤ m1 + 1, ∀ m0, ii. m0 ≤ m1 ∧ (∀ m. ii(m) ≤ ii(m0)) ∧ (∀ n. ii(n) ≤ ii(n + 1)) → ii(m1) = ii(m0), ∀ m. ii(m) ≤ ii(m0), ∀ n. ii(n) ≤ ii(n + 1) ⊦ ii(m1 + 1) = ii(m0)

Rule argument

Additional information

Used simplifier rules: succ: ⊦ m +1 = m + 1; from specification nat-basic2