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Proof step 46 from proof write-known-p (previous step)

H1[r, o1] = H0 ∪ H, ((r => o1 * P))(H0), P0(H), rely(me, O1, H1[r, o1], O2, H2), r ∈ H1, H0 ⊥ H, ∀ r. r ∈ H0 → O2(r) = me ⊦ H1 = H1[r, H1[r]]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 47:
r ∈ H ⊦ H[r] = o → H[r, o] = H

Rule argument

spec: heap name: write-again seq: r ∈ H ⊦ H[r] = o → H[r, o] = H subst: [o, r, H] → [H1[r], r, H1] flags: <all paths>

Additional information

Used terms: H1[r], r, H1