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Proof step 85 from proof refine-write (previous step)

avols[default-volid][m2] = mapped(buf0, n2), avol = abs(avols[default-volid]), err = err0, m2 < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), default-volid ∈ avols, n2 ≤ m1, m1 + n ≤ LEB_SIZE, n3 + n ≤ # buf, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪if avols[default-volid][m2].mapped? then {v := default-volid; n1 := n3; n0 := n; m0 := m2; m := m1; choose n2 with n2 < n0 ∧ is-aligned(n2, EB_PAGE_SIZE) in if n2 ≠ 0 then avols[v][m0] := mapped(subarray(avols[v][m0].data, 0, m) + subarray(buf, n1, n2) + mkempbuf(LEB_SIZE - m - n2), m + n2) ifnone skip} else if n ≠ 0 then avols[default-volid][m2] := unmapped⟫ ⟨ebm_avol_write#(m2, m1, n3, n, buf; avol; err1)⟩ (avol = abs(avols[default-volid]) ∧ err = err1), err = ESUCCESS

Heuristic conditional right split applied rule if positive right

And obtained the following new goals

Proof step 86:
avols[default-volid][m2] = mapped(buf0, n2), avol = abs(avols[default-volid]), err = err0, m2 < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(n, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), default-volid ∈ avols, n3 + n ≤ # buf, m1 + n ≤ LEB_SIZE, n2 ≤ m1, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪v := default-volid; n1 := n3; n0 := n; m0 := m2; m := m1; choose n2 with n2 < n0 ∧ is-aligned(n2, EB_PAGE_SIZE) in if n2 ≠ 0 then avols[v][m0] := mapped(subarray(avols[v][m0].data, 0, m) + subarray(buf, n1, n2) + mkempbuf(LEB_SIZE - m - n2), m + n2) ifnone skip⟫ ⟨ebm_avol_write#(m2, m1, n3, n, buf; avol; err1)⟩ (avol = abs(avols[default-volid]) ∧ err = err1), err = ESUCCESS

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ mapped(buf, m).mapped?; (s)