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Proof step 59 from proof CSPAWN-sat-rely-guar-ind (previous step)

n ≠ 0, RG-restr (n, λ n, act, cs, act0, cs0. CRely(m0 + 1, act, cs, act0, cs0) ∧ (CInv(n, act, cs) → CInv(n, act0, cs0)), λ n, act, cs, act0, cs0. CGuar(m0 + 1, act, cs, act0, cs0) ∧ (CInv(n, act, cs) → CInv(n, act0, cs0)), λ n, act, cs. CInit(m0 + 1, act, cs) ∧ CInv(n, act, cs), λ n, act, cs, act0, cs0. CInv(n, act0, cs0), CInv, λ n, act, cs, act0, cs0. CRelyto(m0, act, cs, act0, cs0) ∧ (CInv(n, act, cs) → CInv(n, act0, cs0)), λ n, act, cs, act0, cs0. CGuarto(m0, act, cs, act0, cs0) ∧ (CInv(n, act, cs) → CInv(n, act0, cs0)), λ n, act, cs. CInitto(m0, act, cs) ∧ CInv(n, act, cs), λ n, act, cs, act0, cs0. CInv(n, act0, cs0)), m0 < n, m ≤ m0, CGuar(m, Act, CS, Act', CS'), m < n, CInv(n, Act, CS) → CInv(n, Act', CS'), ∀ m. ¬ m ≤ m0 + 1 ∨ ¬ CGuar(m, Act, CS, Act', CS') ⊦ last

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 8 terms: m

Additional information

Used simplifier rules: lels-01: ⊦ ¬ m ≤ n ↔ n < m; from specification nat%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat%lf: ⊦ m < n ∧ n < n0 → m +1 < n0; (forward) from specification nat-basic1%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic1%trans-1: ⊦ n < n0 ∧ n0 < n1 → n < n1; (forward) from specification nat-basic1%l-02: ⊦ ¬ m + n < m; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%c: ⊦ m + n = n + m; from specification nat-basic2 Used terms: m