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Proof step 5 from proof lebs-write-subseteq0 (previous step)

m ∈ gstore, ri.lebs ⊆ dom gstore ⊦ ri[key, @(m, m1, m2)].lebs ⊆ ri.lebs, ∀ n. n ∈ ri[key, @(m, m1, m2)].lebs → n ∈ dom gstore

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
adr ∈ ri[key, @(m, m1, m2)], m ∈ gstore, ri.lebs ⊆ dom gstore ⊦ adr.lnum ∈ gstore, ri[key, @(m, m1, m2)].lebs ⊆ ri.lebs

Rule argument

Additional information

Used simplifier rules: lebs-index: ⊦ n ∈ ri.lebs ↔ (∃ adr. adr.lnum = n ∧ adr ∈ ri);% ⊦ n ∈ dom gstore ↔ n ∈ gstore; (s)