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Proof step 21 from proof down-except-refsize (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 22:
⊦ gblock ↓ = groupblock (prefixn(valid-group-nodes(gblock.gndlist), gblock.gndlist), prefixn(valid-group-nodes(gblock.gndlist), gblock.ladrlist), gblock.ref-size)
Proof step 23:
gstore1 ↓[n] = groupblock(gndx, lax, m), groupblock (prefixn(valid-group-nodes(gstore0[n].gndlist), gstore0[n].gndlist), prefixn(valid-group-nodes(gstore0[n].gndlist), gstore0[n].ladrlist), gstore0[n].ref-size) = groupblock(gndx0, lax0, m0), n ∈ gstore0, ∀ n. (n ∈ gstore1 ↔ n ∈ gstore0) ∧ gstore1[n].gndlist = gstore0[n].gndlist ∧ gstore1[n].ladrlist = gstore0[n].ladrlist ⊦ n ∈ gstore1 ∧ gndx = gndx0 ∧ lax = lax0

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] → [gstore0[n]] flags: <all paths>

Additional information

Used terms: gstore0[n]