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Proof step 117 from proof inv-commit (previous step)

zh0[rp] = mkznode(r0, zbrar0, boolvar0, false, m4), zh[rp] = mkznode(r, zbrar, boolvar, true, m), istore2[m0] = indexblock(indx, lax, m3), remove-refsize0(gstore3) = gstore3, remove-refsize0(istore4) = istore4, elems nx0 ∩ ginval0 = ∅, dom remove-refsize0(gstore4) ∩ ginval0 = ∅, dom gstore3 ∪ elems nx0 = dom gstore4 ∪ ginval0, btree-inv(rp, adr, istore2[m0, indexblock(indx, lax, m3 - m2)], istore4, zh0[rp, mkznode(r0, zbrar0, boolvar0, true, m4)], ri, fi), btree-inv(rp, @(m0, m1, m2), istore2, istore2, zh0, ri, ri), btree-inv(rp, adr, istore3, istore4, zh, ri, fi), btree-inv(rp, adr, istore3[n, indexblock([], [], 0)], istore4, zh, ri, fi), inv(remove-refsize0(gstore4)), inv(remove-refsize0(istore2)), inv(istore2), inv(gstore4 \ ginval0), inv(gstore3), inv(istore3), inv(istore4), inv(istore3[n, indexblock([], [], 0)]), rp ∈ zh, istore4 ⊑ istore2, istore3[n, indexblock([], [], 0)] ⊑ istore2, istore4 ⊑ istore3, istore4 ⊑ istore3[n, indexblock([], [], 0)] ⊦ btree-inv(rp, @(m0, m1, m2), remove-refsize0(istore2), remove-refsize0(istore2), zh0, ri, ri), dups(nx0), n ∈ istore3

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: btree-inv name: btree-inv-remove-refsize0 seq: ¬ dirty ∨ rp = null ⊦ inv(istore) ∧ inv(istore0) ∧ zh[rp] = mkznode(rp0, zbrar, boolvar, dirty, nused) ∧ btree-inv(rp, adr, istore, istore0, zh, ri, fi) ∧ istore0 ⊑ istore → btree-inv (rp, adr, remove-refsize0(istore), remove-refsize0(istore), zh, ri, fi) subst: [dirty, rp0, zbrar, boolvar, nused, fi, ri, zh, istore0, istore, adr, rp] → [false, r0, zbrar0, boolvar0, m4, ri, ri, zh0, istore2, istore2, @(m0, m1, m2), rp] flags: <all paths>

Additional information

Used simplifier rules: ⊦ inv(istore) → istore ⊑ istore; (s) Used terms: false, r0, zbrar0, boolvar0, m4, ri, ri, zh0, istore2, istore2, @(m0, m1, m2), rp