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Proof step 1 from proof nodes-cons-rec (conclusion)

⊦ nodes-cons(adr ' + ax, nd ' + ndx, gstore, ginval) ↔ adr ∈ gstore ∧ ¬ adr.lnum ∈ ginval ∧ gstore[adr].nd = nd ∧ nodes-cons(ax, ndx, gstore, ginval)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 2:
adr = @(m, m0, m1) ⊦ nodes-cons(adr ' + ax, nd ' + ndx, gstore, ginval) ↔ adr ∈ gstore ∧ ¬ m ∈ ginval ∧ gstore[adr].nd = nd ∧ nodes-cons(ax, ndx, gstore, ginval)

Rule argument

spec: address-data name: elim seq: ⊦ (m = adr.lnum ∧ m0 = adr.pos) ∧ m1 = adr.size ↔ adr = @(m, m0, m1) subst: [adr, m, m0, m1] → [adr, m, m0, m1]

Additional information

Used simplifier rules: ⊦ (m = adr.lnum ∧ m0 = adr.pos) ∧ m1 = adr.size ↔ adr = @(m, m0, m1); (elim) Used terms: adr, m, m0, m1