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Proof step 7 from proof crash-neutral-create-volume (previous step)

ebm-cons(avols), avols ⊆ avols0, ebm-cons(avols) → ebm-cons(avols0) ⊦ (⌊EIO⌋ ∨ EIO = ESUCCESS) ∧ ⟨err := EIO; if err = ESUCCESS then avols[v] := fill(mkabstractvolume(n), erased)⟩ (avols ⊆ avols0 ∧ (ebm-cons(avols) → ebm-cons(avols0))), v ∈ avols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
ebm-cons(avols), ebm-cons(avols0), avols ⊆ avols0, ¬ v ∈ avols ⊦ ⟨err := EIO; if err = ESUCCESS then avols[v] := fill(mkabstractvolume(n), erased)⟩ (avols ⊆ avols0)

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊EIO⌋ ; (s)