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Proof step 10 from proof lebs-write-subseteq0 (previous step)

m ∈ gstore, @(m0, m3, m4) ∈ ri[key, @(m, m1, m2)], ∀ n. n ∈ ri.lebs → n ∈ dom gstore ⊦ m0 ∈ gstore, ri[key, @(m, m1, m2)].lebs ⊆ ri.lebs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
@(m0, m3, m4) ∈ ri[key, @(m, m1, m2)], m ∈ gstore, ∀ n. (∃ adr. adr.lnum = n ∧ adr ∈ ri) → n ∈ gstore ⊦ m0 ∈ 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)