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Proof step 9 from proof remove-refsize0-down (previous step)

gstore[n] = groupblock(gndx, lax, m) ⊦ (n ∈ gstore ∧ m ≠ 0 ↔ n ∈ remove-refsize0(gstore ↓)) ∧ (n ∈ gstore ∧ m ≠ 0 → groupblock(prefixn(valid-group-nodes(gndx), gndx), prefixn(valid-group-nodes(gndx), lax), m) = remove-refsize0(gstore ↓)[n])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ n ∈ remove-refsize0(gstore) ↔ n ∈ gstore ∧ gstore[n].ref-size ≠ 0
Proof step 11:
gstore[n] = groupblock(gndx, lax, m) ⊦ (n ∈ gstore ∧ m ≠ 0 ↔ n ∈ gstore ↓ ∧ gstore ↓[n].ref-size ≠ 0) ∧ (n ∈ gstore ∧ m ≠ 0 → groupblock(prefixn(valid-group-nodes(gndx), gndx), prefixn(valid-group-nodes(gndx), lax), m) = remove-refsize0(gstore ↓)[n])

Rule argument

spec: ablock-store-inv, inst: group-store name: in-remove-refsize0 seq: ⊦ n ∈ remove-refsize0(gstore) ↔ n ∈ gstore ∧ gstore[n].ref-size ≠ 0 subst: [gstore, n] → [gstore ↓, n] flags: <all paths>

Additional information

Used terms: gstore ↓, n