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Proof step 6 from proof weaken-left (previous step)

((P0 * P1))(H), P0 * true ⊆ Q ⊦ Q(H)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ P0 ⊆ P1 ↔ (∀ H. P0(H) → P1(H))
Proof step 8:
((P0 * P1))(H), ∀ H. ((P0 * true))(H) → Q(H) ⊦ Q(H)

Rule argument

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

Additional information

Used terms: Q, P0 * true