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

avols[default-volid][m2] = mapped(buf1, n1), buf = buf0, m2 < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols, n3 + n2 ≤ # buf0, m1 + n2 ≤ LEB_SIZE ⊦ ⟪ebm_read#(default-volid, m2, m1, n3, n2, avols; buf; err)⟫ ⟨ebm_avol_read#(m2, m1, n3, n2, abs(avols[default-volid]); buf0; err0)⟩ (buf = buf0 ∧ err = err0)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 7:
avols[default-volid][m2] = mapped(buf1, n1), buf = buf2, buf0 = buf, m = m1, m0 = m2, n = n2, n0 = n3, v = default-volid, m2 < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), default-volid ∈ avols, m1 + n2 ≤ LEB_SIZE, n3 + n2 ≤ # buf2 ⊦ ⟪if v ∈ avols ∧ m0 < # avols[v] ∧ m + n ≤ LEB_SIZE ∧ n0 + n ≤ # buf0 then {fail_or_success#(; ; err); if err = ESUCCESS then if ¬ avols[v][m0].mapped? then buf0 := fill(buf0, empty, n0, n) else buf0 := copy(avols[v][m0].data, m, buf0, n0, n) else choose buf with # buf = # buf0 ∧ range=(buf, 0, buf0, 0, n0) ∧ range=(buf, n0 + n, buf0, n0 + n, # buf0 - n0 + n) in buf0 := buf} else abort⟫ ⟨ebm_avol_read#(m2, m1, n3, n2, abs(avols[default-volid]); buf2; err0)⟩ (buf0 = buf2 ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: ebm_read#(VOLID, LNUM, OFFSET, N0, N, AVOLS; BUF; ERR) {if VOLID ∈ AVOLS ∧ LNUM < # AVOLS[VOLID] ∧ OFFSET + N ≤ LEB_SIZE ∧ N0 + N ≤ # BUF then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then if ¬ AVOLS[VOLID][LNUM].mapped? then BUF := fill(BUF, empty, N0, N) else BUF := copy(AVOLS[VOLID][LNUM].data, OFFSET, BUF, N0, N) else choose BUF0 with # BUF0 = # BUF ∧ range=(BUF0, 0, BUF, 0, N0) ∧ range=(BUF0, N0 + N, BUF, N0 + N, # BUF - N0 + N) in BUF := BUF0} else abort };