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Proof step 9 from proof down-store-notin-notin (previous step)

gstore[m] ↓ = groupblock(gndx, lax, m2), @(m0, m1) ∈ lax, m ∈ gstore ⊦ @(m, m0, m1) ∈ gstore

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ adr ∈ gstore ↔ adr.lnum ∈ gstore ∧ @(adr.pos, adr.size) ∈ gstore[adr.lnum].ladrlist
Proof step 11:
gstore[m] ↓ = groupblock(gndx, lax, m2), m ∈ gstore, @(m0, m1) ∈ lax ⊦ @(m, m0, m1).lnum ∈ gstore ∧ @(@(m, m0, m1).pos, @(m, m0, m1).size) ∈ gstore[@(m, m0, m1).lnum].ladrlist

Rule argument

spec: ablock-store-inv, inst: group-store name: in seq: ⊦ adr ∈ gstore ↔ adr.lnum ∈ gstore ∧ @(adr.pos, adr.size) ∈ gstore[adr.lnum].ladrlist subst: [gstore, adr] → [gstore, @(m, m0, m1)] flags: <all paths>

Additional information

Used terms: gstore, @(m, m0, m1)