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Proof step 5 from proof no-init-violation-left (previous step)

[:S | Boolvar ::- [PL ¬ P(pm, S)] ∥ false ::- [PL R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s, S);G2(pm, S, S'))]], N = N'' +1 until Boolvar, □ (R1(pm, S', S'') ∧ R2(pm, S', S'')), \A ∀ N, R1, pm, S, R2, Boolvar, P, Post2, s, G2, G1, Pre1, Post1, I, Pre2. N < m → □ (R1(pm, S', S'') ∧ R2(pm, S', S'')) ∧ N = N'' +1 until Boolvar ∧ [:S | Boolvar ::- [PL ¬ P(pm, S)] ∥ false ::- [PL R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s, S);G2(pm, S, S'))]] ∧ RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2) ∧ stable(pm, I, R1) ∧ stable(pm, I, R2) ∧ I(pm, S) ∧ Pre2(pm, s) ∧ P-restr(pm, P, I, R1) ∧ P(pm, S) → false, m = N, RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), stable(pm, I, R1), stable(pm, I, R2), I(pm, S), Pre2(pm, s), P-restr(pm, P, I, R1), P(pm, S) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: succ: ⊦ m +1 = m + 1; from specification nat-basic2