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Proof step 23 from proof size-0 (previous step)

(range ri | m).size = 0, ri[key] = @(m, m0, 0), gstore[m] ↓ = groupblock(gndx, lax, m2), inv(gstore \ ginval), key-cons(key, nodes(gstore ↓, ginval)[@(m, m0, 0)]), m ∈ gstore, @(m0, 0) ∈ lax, key ∈ ri ⊦ m ∈ ginval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 24:
⊦ gblock ↓ = groupblock (prefixn(valid-group-nodes(gblock.gndlist), gblock.gndlist), prefixn(valid-group-nodes(gblock.gndlist), gblock.ladrlist), gblock.ref-size)
Proof step 25:
(range ri | m).size = 0, ri[key] = @(m, m0, 0), 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), inv(gstore \ ginval), key-cons(key, nodes(gstore ↓, ginval)[@(m, m0, 0)]), key ∈ ri, @(m0, 0) ∈ lax, m ∈ gstore ⊦ 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]