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Proof step 4 from proof no-progress-fw (previous step)

I(pm, s0), I(pm, s), R(pm, s, s0), ∀ s, s0. I(pm, s) ∧ I(pm, s0) ∧ (¬ P)(pm, s) ∧ R(pm, s, s0) → (¬ P)(pm, s0), P(pm, s0) ⊦ P(pm, s)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
I(pm, s0), I(pm, s), R(pm, s, s0), P(pm, s0), ∀ s1, s2. I(pm, s1) ∧ I(pm, s2) ∧ ¬ P(pm, s1) ∧ R(pm, s1, s2) → ¬ P(pm, s2) ⊦ P(pm, s)

Rule argument

Additional information

Used simplifier rules: notP-def: ⊦ (¬ P)(pm, s) ↔ ¬ P(pm, s);