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Proof step 13 from proof CSPAWN-sat-rely-guar-ind (previous step)

CGuar(0, Act, CS, Act', CS'), CInv(n, Act, CS) → CInv(n, Act', CS') ⊦ CGuarto(0, Act, CS, Act', CS')

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ CGuarto(m, act, cs, act0, cs0) ↔ (∃ m0. m0 ≤ m ∧ CGuar(m0, act, cs, act0, cs0))

Rule argument

spec: CSPAWN+Preds inst: name: CGuarto-def seq: ⊦ CGuarto(m, act, cs, act0, cs0) ↔ (∃ m0. m0 ≤ m ∧ CGuar(m0, act, cs, act0, cs0)) subst: [cs0, act0, cs, act, m] → [CS', Act', CS, Act, 0] flags: rewrite

Additional information

Used simplifier rules: lez-01: ⊦ m ≤ 0 ↔ m = 0; from specification nat Used terms: CS', Act', CS, Act, 0