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Proof step 5 from proof and-combine (previous step)

P0(H0), P1(H0), precise(P0), H ⊥ H0 ⊦ (((P0 ∧ P1) * P))(H ∪ H0) ↔ P(H)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ H0 ⊥ H1 → H1 ∪ H0 = H0 ∪ H1
Proof step 7:
P0(H0), P1(H0), precise(P0), H ⊥ H0, H0 ⊥ H ⊦ (((P0 ∧ P1) * P))(H0 ∪ H) ↔ P(H)

Rule argument

spec: heap name: uni-com seq: ⊦ H0 ⊥ H1 → H1 ∪ H0 = H0 ∪ H1 subst: [H0, H1] → [H0, H] flags: <all paths>

Additional information

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