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Proof step 33 from proof modify-agree (previous step)

(H0 -- r2)[r] = H1[r], r2 ∈ H0, r ∈ rs, r ∈ H0, r ∈ H1 ⊦ # rs = 0, H0[r] = H1[r], rs = ∅, r2 ∈ rs

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 34:
r ∈ H ⊦ r ≠ r0 → (H -- r0)[r] = H[r]

Rule argument

spec: heap name: at-del seq: r ∈ H ⊦ r ≠ r0 → (H -- r0)[r] = H[r] subst: [r, r0, H] → [r, r2, H0] flags: <all paths>

Additional information

Used terms: r, r2, H0