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Proof step 30 from proof down-except-refsize (previous step)

gstore0[n] = groupblock(gndx0, lax0, m0), gstore1[n] ↓ = groupblock(gndx, lax, m), n ∈ gstore1, n ∈ gstore0, ∀ n. (n ∈ gstore1 ↔ n ∈ gstore0) ∧ gstore1[n].gndlist = gstore0[n].gndlist ∧ gstore1[n].ladrlist = gstore0[n].ladrlist ⊦ gndx = prefixn(valid-group-nodes(gndx0), gndx0) ∧ lax = prefixn(valid-group-nodes(gndx0), lax0)

User applied rule insert rewrite lemma

And obtained the following new goals

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] → [gstore1[n]] flags: <all paths>

Additional information

Used terms: gstore1[n]