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Proof step 3 from proof recovery (previous step)

ebm-cons(avols), ebm-cons(avols0), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols, avols ⊆ avols0 ⊦ ⟪ebm_vol_recover#(; avols0; v0, err)⟫ ( ( err = ESUCCESS → (∃ avol. abs(avols[default-volid]) ⊆ avol ∧ ⟨ebm_avol_recover#(; avol; err0)⟩ (avol = abs(avols0[v0]) ∧ ESUCCESS = err0))) ∧ (err ≠ ESUCCESS → (∀ avol. ⟨ebm_avol_recover#(; avol1; err0)⟩ (avol = avol1 ∧ err = err0))))

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 4:
avols = avols0, ebm-cons(avols0), ebm-cons(avols1), ebm-vol-inv(abs(avols1[default-volid])), default-volid ∈ avols1, avols1 ⊆ avols0 ⊦ ⟪ebm_recover#(; avols; err); v := default-volid⟫ ( (err = ESUCCESS → (∃ avol. abs(avols1[default-volid]) ⊆ avol ∧ ⟨ebm_avol_recover#(; avol; err0)⟩ (avol = abs(avols[v]) ∧ ESUCCESS = err0))) ∧ (err ≠ ESUCCESS → (∀ avol. ⟨ebm_avol_recover#(; avol1; err0)⟩ (avol = avol1 ∧ err = err0))))

Rule argument

pos: right 1

Additional information

Used simplifier rules: ebm_vol_recover#(; AVOLS; VOLID, ERR) {ebm_recover#(; AVOLS; ERR); VOLID := default-volid};