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Proof step 12 from proof btree-inv-remove-refsize0 (previous step)

zh[rp] = mkznode(rp0, zbrar, boolvar, dirty, nused), ((btree(null, null, adr, height0, false, fi, nodes(istore0), alladrs0, alladrs0, ok) * true))(zh), ((btree(null, rp, adr, height, false, ri, nodes(istore), alladrs, alladrs, ok) * true))(zh), inv(istore), inv(istore0), refsize-cons(istore0, alladrs0), refsize-cons(istore, alladrs), adr ∈ istore, alladrs0 ⊆ dom nodes(istore), alladrs ⊆ dom nodes(istore), alladrs0 ⊆ dom nodes(istore0), istore0 ⊑ istore, ¬ dirty ∨ rp = null, rp = null ∨ ¬ dirty ⊦ nodes(istore) | alladrs ⊆ nodes(remove-refsize0(istore)), ((btree(null, rp, adr, height, false, ri, nodes(remove-refsize0(istore)), alladrs, alladrs, ok) * true))(zh) ∧ adr ∈ remove-refsize0(istore)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: ablock-store-refsize-cons, inst: index-store name: remove-refsize0-subset-refed seq: ⊦ refsize-cons(istore, as) ∧ as ⊆ dom nodes(istore) ∧ valid-adrs(as) → nodes(istore) | as ⊆ nodes(remove-refsize0(istore)) subst: [as, istore] → [alladrs, istore] flags: <all paths>

Additional information

Used simplifier rules: ⊦ inv(istore) ∧ as ⊆ dom nodes(istore) → valid-adrs(as); (ss) Used terms: alladrs, istore