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Proof step 3 from proof modify-footprint (previous step)

footprint(rs, P, H0), modify(rs)(H0, H1) ⊦ P(H0) ↔ P(H1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ footprint(rs, P, H0) ↔ (∀ H1. modify*(rs)(H0, H1) → (P(H0) ↔ P(H1)))
Proof step 5:
modify(rs)(H0, H1), ∀ H1. modify*(rs)(H0, H1) → (P(H0) ↔ P(H1)) ⊦ P(H0) ↔ P(H1)

Rule argument

spec: <toplevel> name: footprint seq: ⊦ footprint(rs, P, H0) ↔ (∀ H1. modify*(rs)(H0, H1) → (P(H0) ↔ P(H1))) subst: [H0, P, rs] → [H0, P, rs] flags: <all paths>

Additional information

Used terms: H0, P, rs