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Proof step 11 from proof btree-inv-clean-commit (previous step)

zh[rp] = mkznode(r, zbrar, boolvar, boolvar0, m), ((btree(null, null, adr, height, false, ri, nodes(istore0), as, alladrs, ok) * true))(zh), ((btree(null, rp, adr, height, false, ri, nodes(istore), as, alladrs, ok) * true))(zh), ((btree(null, null, adr, height, false, ri, nodes(istore), as, alladrs, ok) * true))(zh), refsize-cons(istore0, as), refsize-cons(istore, as), adr ∈ istore, as ⊆ dom nodes(istore0), as ⊆ alladrs, as ⊆ dom nodes(istore), alladrs ⊆ dom nodes(istore), istore0 ⊑ istore, rp = null ∨ ¬ boolvar0 ⊦ ∃ height1, dirty0, as1, alladrs1. ((btree(null, rp, adr, height1, dirty0, ri, nodes(istore), as1, alladrs1, ok) * true))(zh) ∧ refsize-cons(istore, as1) ∧ alladrs1 ⊆ dom nodes(istore)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 1 terms: height, false, as, alladrs

Additional information

Used simplifier rules: sep-ass: ⊦ (P * P3) * P4 = P * P3 * P4; from specification heap-sep[zheap]%sep-com: ⊦ P * P2 = P2 * P; from specification heap-sep[zheap]%true-elim: ⊦ ((P1 * P2))(zh) → ((true * P2))(zh); from specification heap-sep[zheap] Used terms: height, false, as, alladrs