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Proof step 10 from proof btree-reset-root-frame (previous step)

(( r0 => mkznode(rp, zbrar, height = 0, false, nused) * bnode(r0, zbrar, 0, nused, nused, height, false, ri, iast, alladrs -- adr, alladrs -- adr) * P) )(zh0), nused < BRANCH_SIZE, unmodified(adr, mkznode(rp, zbrar, height = 0, false, nused), iast), adr ∈ iast, adr ∈ alladrs, alladrs ⊆ dom iast, (r = null ⊃ P(zh);r0 = r ∧ zh0 = zh) ⊦ # alladrs = 0, alladrs = ∅, ∃ r1, zh1, zbrar0, nused0. nused0 < BRANCH_SIZE ∧ unmodified(adr, mkznode(rp, zbrar0, height = 0, false, nused0), iast) ∧ (( r1 => mkznode(rp, zbrar0, height = 0, false, nused0) * bnode(r1, zbrar0, 0, nused0, nused0, height, false, ri, iast, alladrs -- adr, alladrs -- adr) * true * P) )(zh1)

User applied rule exists right

And closed the goal!

Rule argument

pos: right 3 terms: r0, zh0, zbrar, nused abort: F discard: T computed: F

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]% ⊦ P0(zh) → ((true * P0))(zh); (s) Used terms: r0, zh0, zbrar, nused