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Proof step 13 from proof btree-inv-alloc (previous step)

((btree(null, null, adr, height0, false, fi, nodes(istore0), alladrs0, alladrs0, ok) * true))(zh0), ((btree(null, rp, adr, height, dirty, ri, nodes(istore), as, alladrs, ok) * true))(zh0), inv(istore), refsize-cons(istore[n, indexblock(indx, lax, 0)], as), refsize-cons(istore0, alladrs0), refsize-cons(istore, as), adr ∈ istore, as ⊆ alladrs, as ⊆ dom nodes(istore), alladrs0 ⊆ dom nodes(istore), alladrs ⊆ dom nodes(istore), alladrs0 ⊆ dom nodes(istore0) ⊦ ((btree(null, rp, adr, height, dirty, ri, nodes(istore[n, indexblock(indx, lax, 0)]), as, alladrs, ok) * true))(zh0), n ∈ istore, nodes(istore) | as ⊆ nodes(istore[n, indexblock(indx, lax, 0)])

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: store, inst: index-store-address-store name: Subset seq: ⊦ iast ⊆ iast0 ↔ (∀ adr. adr ∈ iast → adr ∈ iast0 ∧ iast[adr] = iast0[adr]) subst: [iast0, iast] → [nodes(istore[n, indexblock(indx, lax, 0)]), nodes(istore) | as] flags: <all paths>

Additional information

Used terms: nodes(istore[n, indexblock(indx, lax, 0)]), nodes(istore) | as