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Proof step 9 from proof abs-log-except-refsize (previous step)

gstore0[lnum] = groupblock(gndx0, lax0, m0), gstore1[lnum] = groupblock(gndx, lax, m), abs-log(nx0, gstore1) = abs-log(nx0, gstore0), gstore1 =○refsize gstore0 ⊦ lax = lax0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ gstore =○refsize gstore0 ↔ (∀ n. (n ∈ gstore ↔ n ∈ gstore0) ∧ gstore[n].gndlist = gstore0[n].gndlist ∧ gstore[n].ladrlist = gstore0[n].ladrlist)
Proof step 11:
gstore1[lnum] = groupblock(gndx, lax, m), gstore0[lnum] = groupblock(gndx0, lax0, m0), abs-log(nx0, gstore1) = abs-log(nx0, gstore0), ∀ n. (n ∈ gstore1 ↔ n ∈ gstore0) ∧ gstore1[n].gndlist = gstore0[n].gndlist ∧ gstore1[n].ladrlist = gstore0[n].ladrlist ⊦ lax = lax0

Rule argument

spec: ablock-store-inv, inst: group-store name: except-refsize-eq seq: ⊦ gstore =○refsize gstore0 ↔ (∀ n. (n ∈ gstore ↔ n ∈ gstore0) ∧ gstore[n].gndlist = gstore0[n].gndlist ∧ gstore[n].ladrlist = gstore0[n].ladrlist) subst: [gstore0, gstore] → [gstore0, gstore1] flags: <all paths>

Additional information

Used terms: gstore0, gstore1