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Proof step 17 from proof wand-flatten (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 18:
⊦ H1 ⊥ H → (H0 ⊥ H1 ∪ H ↔ H0 ⊥ H1 ∧ H0 ⊥ H)
Proof step 19:
P0(H2), P1(H1), H2 ⊥ H1, H ⊥ H2, H ⊥ H1, H2 ⊥ H, H1 ⊥ H2 ∧ H1 ⊥ H → P2(H1 ∪ H2 ∪ H) ⊦ P2((H2 ∪ H1) ∪ H)

Rule argument

spec: heap name: disj-distr-uni seq: ⊦ H1 ⊥ H → (H0 ⊥ H1 ∪ H ↔ H0 ⊥ H1 ∧ H0 ⊥ H) subst: [H, H1, H0] → [H, H2, H1] flags: <all paths>

Additional information

Used simplifier rules: ⊦ H0 ⊥ H1 → H1 ⊥ H0; (s) Used terms: H, H2, H1