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Proof step 14 from proof lebs-dom-remove-refsize0 (previous step)

ri[key] = @(m, m0, m1), inv(gstore \ ginval), ri-cons(ri, nodes(gstore ↓, ginval)), key ∈ ri, m ∈ gstore → gstore[m].ref-size = (range ri | m).size ⊦ m ∈ remove-refsize0(gstore)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 15:
ri[key] = @(m, m0, m1), gstore[m] = groupblock(gndx, lax, m2), inv(gstore \ ginval), ri-cons(ri, nodes(gstore ↓, ginval)), key ∈ ri, m ∈ gstore → m2 = (range ri | m).size ⊦ m ∈ remove-refsize0(gstore)

Rule argument

spec: ablock, inst: group-store name: elim seq: ⊦ (gndx = gblock.gndlist ∧ lax = gblock.ladrlist) ∧ m = gblock.ref-size ↔ gblock = groupblock(gndx, lax, m) subst: [gblock, gndx, lax, m] → [gstore[m], gndx, lax, m2]

Additional information

Used simplifier rules: ⊦ (gndx = gblock.gndlist ∧ lax = gblock.ladrlist) ∧ m = gblock.ref-size ↔ gblock = groupblock(gndx, lax, m); (elim) Used terms: gstore[m], gndx, lax, m2