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Proof step 3 from proof wand-right (previous step)

⊦ P * Q0 ⊆ Q1 ↔ (∀ H. P(H) → ((Q0 -* Q1))(H))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ P0 ⊆ P1 ↔ (∀ H. P0(H) → P1(H))
Proof step 5:
⊦ (∀ H. ((P * Q0))(H) → Q1(H)) ↔ (∀ H. P(H) → ((Q0 -* Q1))(H))

Rule argument

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

Additional information

Used terms: Q1, P * Q0