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Proof step 9 from proof wand-elim (previous step)

((Q0 -* Q1))(H1), P0(H1), P1(H0), Q0(H0), P1 ⊆ Q0, P0 ⊆ Q0 -* Q1, H1 ⊥ H0 ⊦ Q1(H1 ∪ H0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ P0 ⊆ P1 ↔ (∀ H. P0(H) → P1(H))
Proof step 11:
((Q0 -* Q1))(H1), P0(H1), P1(H0), Q0(H0), P1 ⊆ Q0, H1 ⊥ H0, ∀ H. P0(H) → ((Q0 -* Q1))(H) ⊦ Q1(H1 ∪ H0)

Rule argument

spec: heap-sep name: Imp seq: ⊦ P0 ⊆ P1 ↔ (∀ H. P0(H) → P1(H)) subst: [P1, P0] → [Q0 -* Q1, P0] flags: <all paths>

Additional information

Used terms: Q0 -* Q1, P0