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

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

Used simplifier rules: lebs-index: ⊦ n ∈ ri.lebs ↔ (∃ adr. adr.lnum = n ∧ adr ∈ ri);% ⊦ n ∈ dom gstore ↔ n ∈ gstore; (s)% ⊦ n ∈ ns ++ n0 ↔ ¬(n ≠ n0 ∧ ¬ n ∈ ns); (ss)