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Proof step 9 from proof in-nodes-down-at-same (previous step)

gstore[m] ↓ = groupblock(gndx, lax, m2), m ∈ gstore, @(m0, m1) ∈ lax ⊦ gndx[pos(@(m0, m1), lax)] = gstore[@(m, m0, m1)], m ∈ ginval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ gblock ↓ = groupblock (prefixn(valid-group-nodes(gblock.gndlist), gblock.gndlist), prefixn(valid-group-nodes(gblock.gndlist), gblock.ladrlist), gblock.ref-size)
Proof step 11:
groupblock (prefixn(valid-group-nodes(gstore[m].gndlist), gstore[m].gndlist), prefixn(valid-group-nodes(gstore[m].gndlist), gstore[m].ladrlist), gstore[m].ref-size) = groupblock(gndx, lax, m2), @(m0, m1) ∈ lax, m ∈ gstore ⊦ gndx[pos(@(m0, m1), lax)] = gstore[@(m, m0, m1)], m ∈ ginval

Rule argument

spec: <toplevel> name: down-block seq: ⊦ gblock ↓ = groupblock (prefixn(valid-group-nodes(gblock.gndlist), gblock.gndlist), prefixn(valid-group-nodes(gblock.gndlist), gblock.ladrlist), gblock.ref-size) subst: [gblock] → [gstore[m]] flags: <all paths>

Additional information

Used terms: gstore[m]