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Proof step 17 from proof sw-alloc-put (previous step)

r ∈ H, r1 ∈ H, r ∈ H[r1, o1] ⊦ (H ++ r0)[r] = H[r1, o1][r], r = r1, r = r0, r0 = null, r0 ∈ H, r0 ∈ H[r1, o1]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
r1 ∈ H, r ∈ H ⊦ (H ++ r0)[r] = H[r], r = r1, r0 = null, r0 ∈ H

Rule argument

Additional information

Used simplifier rules: at-write: ⊦ H[r0, o][r] = (r = r0 ∧ r0 ∈ H ⊃ o;H[r]);%in-write: ⊦ r ∈ H[r0, o] ↔ r ∈ H;