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Proof step 8 from proof dom-remove-refsize0-down (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ n ∈ remove-refsize0(gstore) ↔ n ∈ gstore ∧ gstore[n].ref-size ≠ 0
Proof step 10:
gstore[n] ↓ = groupblock(gndx, lax, m) ⊦ n ∈ gstore ∧ m ≠ 0 ↔ n ∈ gstore ∧ gstore[n].ref-size ≠ 0

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