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

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
□ (R1(pm, S', S'') ∧ R2(pm, S', S'')), ◇ Boolvar, [:S | Boolvar ::- [PL S = s] ∥ false ::- [PL R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s1, S);G2(pm, S, S'))]], RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), Pre2(pm, s1), I(pm, s0), R1(pm, s0, S), I(pm, S), I(pm, s1), ¬ R1(pm, s0, s) ⊦

Rule argument

Additional information

Used simplifier rules: pre2-i: ⊦ RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2) ∧ Pre2(pm, s) → I(pm, s);%i-r1-i: ⊦ RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2) ∧ R1(pm, s, s0) ∧ I(pm, s) → I(pm, s0);