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Proof step 14 from proof nodes-write-nochange (previous step)

gstore[n] = groupblock(gndx, lax, m0), n ∈ gstore, @(m2, m3) ∈ gstore[m1].ladrlist, m1 ∈ gstore ⊦ nodes(gstore[n, groupblock(gndx, lax, m)], ginval)[@(m1, m2, m3)] = nodes(gstore, ginval)[@(m1, m2, m3)], m1 ∈ ginval

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 15:
gstore[n] = groupblock(gndx, lax, m0), gstore[m1] = groupblock(gndx0, lax0, m4), m1 ∈ gstore, @(m2, m3) ∈ lax0, n ∈ gstore ⊦ nodes(gstore[n, groupblock(gndx, lax, m)], ginval)[@(m1, m2, m3)] = nodes(gstore, ginval)[@(m1, m2, m3)], m1 ∈ ginval

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[m1], gndx0, lax0, m4]

Additional information

Used simplifier rules: ⊦ (gndx = gblock.gndlist ∧ lax = gblock.ladrlist) ∧ m = gblock.ref-size ↔ gblock = groupblock(gndx, lax, m); (elim) Used terms: gstore[m1], gndx0, lax0, m4