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

P1 ⊆ Q1, Q0 ⊆ P0 ⊦ Q0 * (P0 -* P1) ⊆ Q1

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:
Q0 ⊆ P0, P1 ⊆ Q1 ⊦ ∀ H. ((Q0 * (P0 -* P1)))(H) → Q1(H)

Rule argument

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

Additional information

Used terms: Q1, Q0 * (P0 -* P1)