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Proof step 5 from proof sep-Mp (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ ((P0 -* P1))(H) ↔ (∀ H1. H1 ⊥ H ∧ P0(H1) → P1(H1 ∪ H))
Proof step 7:
P0(H1), H1 ⊥ H0, ∀ H1. H1 ⊥ H0 ∧ P0(H1) → P1(H1 ∪ H0) ⊦ P1(H1 ∪ H0)

Rule argument

spec: <toplevel> name: wand seq: ⊦ ((P0 -* P1))(H) ↔ (∀ H1. H1 ⊥ H ∧ P0(H1) → P1(H1 ∪ H)) subst: [H, P1, P0] → [H0, P1, P0] flags: <all paths>

Additional information

Used terms: H0, P1, P0