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Proof step 2 from proof stable-fw (previous step)

R(pm, s, s0), I(pm, s), stable(pm, I, R) ⊦ I(pm, s0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ stable(pm, I, R) ↔ (∀ s, s0. I(pm, s) ∧ R(pm, s, s0) → I(pm, s0))
Proof step 4:
R(pm, s, s0), I(pm, s), ∀ s, s0. I(pm, s) ∧ R(pm, s, s0) → I(pm, s0) ⊦ I(pm, s0)

Rule argument

spec: inst: name: stable-def seq: ⊦ stable(pm, I, R) ↔ (∀ s, s0. I(pm, s) ∧ R(pm, s, s0) → I(pm, s0)) subst: [R, I, pm] → [R, I, pm] flags: rewrite, current

Additional information

Used terms: R, I, pm