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Proof step 3 from proof btree-istore-restrict (previous step)

((btree(rp, r0, adr, height, dirty0, ri, iast | as0, as, alladrs, nstat) * P))(zh0), as ⊆ alladrs, as ⊆ dom iast ∩ as0 ⊦ ((btree(rp, r0, adr, height, dirty0, ri, iast, as, alladrs, nstat) * P))(zh0)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: btree-istore-reduce seq: ⊦ iast0 ⊆ iast1 ∧ (( btree (rp, r0, adr, height, dirty0, ri, iast0, as, alladrs, nstat) * P) )(zh0) → (( btree (rp, r0, adr, height, dirty0, ri, iast1, as, alladrs, nstat) * P) )(zh0) subst: [iast0, zh0, P, nstat, alladrs, as, iast1, ri, dirty0, height, adr, r0, rp] → [iast | as0, zh0, P, nstat, alladrs, as, iast, ri, dirty0, height, adr, r0, rp] flags: <all paths>

Additional information

Used simplifier rules: ⊦ iast | as ⊆ iast; (s) Used terms: iast | as0, zh0, P, nstat, alladrs, as, iast, ri, dirty0, height, adr, r0, rp