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Proof step 6 from proof refine-remap (previous step)

avol = abs(avols[default-volid]), m < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols ⊦ ⟪ebm_vol_unmap#(m, default-volid; avols); ebm_map#(default-volid, m; avols; err)⟫ ⟨ebm_avol_remap#(m; avol; err0)⟩ (avol = abs(avols[default-volid]) ∧ err = err0)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 7:
avol = abs(avols[default-volid]), v = default-volid, m < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols ⊦ ⟪if m < # avols[v] then ebm_unmap#(v, m; avols) else abort; ebm_map#(default-volid, m; avols; err)⟫ ⟨ebm_avol_remap#(m; avol; err0)⟩ (avol = abs(avols[default-volid]) ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: ebm_vol_unmap#(LNUM, VOLID; AVOLS) {if LNUM < # AVOLS[VOLID] then ebm_unmap#(VOLID, LNUM; AVOLS) else abort };