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Proof step 13 from proof wand-elim (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ ((P0 -* P1))(H) ↔ (∀ H1. H1 ⊥ H ∧ P0(H1) → P1(H1 ∪ H))
Proof step 15:
P0(H1), P1(H0), Q0(H0), P1 ⊆ Q0, H1 ⊥ H0, ∀ H0. H0 ⊥ H1 ∧ Q0(H0) → Q1(H0 ∪ H1) ⊦ Q1(H1 ∪ H0)

Rule argument

spec: heap-sep name: wand seq: ⊦ ((P0 -* P1))(H) ↔ (∀ H1. H1 ⊥ H ∧ P0(H1) → P1(H1 ∪ H)) subst: [H, P1, P0] → [H1, Q1, Q0] flags: <all paths>

Additional information

Used terms: H1, Q1, Q0