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Proof step 6 from proof wand-flatten (previous step)

((P0 * P1))(H0), ((P0 -* P1 -* P2))(H), H0 ⊥ H ⊦ P2(H0 ∪ H)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ ((P0 -* P1))(H) ↔ (∀ H1. H1 ⊥ H ∧ P0(H1) → P1(H1 ∪ H))
Proof step 8:
((P0 * P1))(H0), H0 ⊥ H, ∀ H1. H1 ⊥ H ∧ P0(H1) → ((P1 -* P2))(H1 ∪ H) ⊦ P2(H0 ∪ H)

Rule argument

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

Additional information

Used terms: H, P1 -* P2, P0