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Proof step 3 from proof fair-never-violates-right-rely (previous step)

[:S | [PL R1(pm, S', S'') -+-> (last ⊃ Post1(pm, s1, S);G1(pm, S, S'))] ∥ [PL S = s]], □ (R1(pm, S', S'') ∧ R2(pm, S', S'')), RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), Pre1(pm, s1), I(pm, s0), R2(pm, s0, S), I(pm, S), I(pm, s1), ¬ R2(pm, s0, s) ⊦

User applied rule insert lemma

And obtained the following new goals

Rule argument

spec: inst: name: fair-never-violates-left-rely seq: RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), Pre2(pm, s1), I(pm, s0), □ (R1(pm, S', S'') ∧ R2(pm, S', S'')), [:S | [PL S = s] ∥ [PL R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s1, S);G2(pm, S, S')) ] ], ¬ R1(pm, s0, s), R1(pm, s0, S) ⊦ subst: [pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2, s1, s0, S, s] → [pm, R2, G2, Pre2, Post2, I, R1, G1, Pre1, Post1, s1, s0, S, s] flags: current, []

Additional information

Used simplifier rules: RG-restr-sym: ⊦ RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2) → ( ¬ RG-restr(pm, R2, G2, Pre2, Post2, I, R1, G1, Pre1, Post1) ↔ false); Used terms: pm, R2, G2, Pre2, Post2, I, R1, G1, Pre1, Post1, s1, s0, S, s