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

((P1 -* P2))(H2 ∪ H), P0(H2), P1(H1), H2 ⊥ H1, H ⊥ H2, H ⊥ H1 ⊦ P2((H2 ∪ H1) ∪ H)

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(H2), P1(H1), H ⊥ H1, H ⊥ H2, H2 ⊥ H1, ∀ H1. H1 ⊥ H2 ∪ H ∧ P1(H1) → P2(H1 ∪ H2 ∪ H) ⊦ P2((H2 ∪ H1) ∪ H)

Rule argument

spec: <toplevel> name: wand seq: ⊦ ((P0 -* P1))(H) ↔ (∀ H1. H1 ⊥ H ∧ P0(H1) → P1(H1 ∪ H)) subst: [H, P1, P0] → [H2 ∪ H, P2, P1] flags: <all paths>

Additional information

Used terms: H2 ∪ H, P2, P1