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Proof step 21 from proof refine-remap (previous step)

avols = avols0[default-volid, avols0[default-volid][m, unmapped]], err = ESUCCESS, err = err0, m < # avols0[default-volid], ebm-cons(avols0), ebm-vol-inv(abs(avols0[default-volid])), default-volid ∈ avols0, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪avols[default-volid][m] := mapped(emptyleb, 0)⟫ ⟨avol := abs(avols0[default-volid]); ebm_avol_remap#(m; avol; err1)⟩ (avol = abs(avols[default-volid]) ∧ err = err1)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 22:
avols = avols0[default-volid, avols0[default-volid][m, unmapped]], err = err0, err = ESUCCESS, m < # avols[default-volid], m < # avols0[default-volid], ebm-cons(avols0), ebm-vol-inv(abs(avols0[default-volid])), default-volid ∈ avols, default-volid ∈ avols0, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟨avol := abs(avols0[default-volid]); ebm_avol_remap#(m; avol; err1)⟩ (avol = abs(avols[default-volid, avols[default-volid][m, mapped(emptyleb, 0)]][default-volid]) ∧ err = err1)

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ avols[v, evol][v] = evol; (s)% ⊦ # evol[n, leb] = # evol; (s)% ⊦ v ∈ avols[v, evol]; (s)