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Proof step 71 from proof leninv-succ (previous step)

# nσ = ∞, nσ[m + 1] = nσ[m] + 1, nσ[(m1 + 1) + m] = nσ[m] + 1, nσ[0] = 0 ⊦ nσ = [], ∃ m0. m ≤ m0 ∧ ¬ m1 + m < m0 ∧ nσ[m] = nσ[m0] ∧ nσ[m0 + 1] = nσ[m0] + 1, nσ[m1 + m] = nσ[m] + 1 ∧ m1 ≠ 0

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 2 terms: m

Additional information

Used simplifier rules: ⊦ m ≤ m; (s)% ⊦ ¬ m + n < m; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic Used terms: m