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Proof step 104 from proof refine-write (previous step)

LEB_SIZE = (n5 + n2) + m1, avols[default-volid][m2] = mapped(buf0, n4), n2 < n, m2 < # avols[default-volid], ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(n2, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(m1, EB_PAGE_SIZE), default-volid ∈ avols, n2 + m1 ≤ LEB_SIZE, n3 + n2 ≤ # buf, n4 ≤ m1, m1 ≤ LEB_SIZE, n4 ≤ LEB_SIZE, n3 + n ≤ # buf, m1 + n ≤ LEB_SIZE, ⌊err1⌋ ⊦ ∃ err0. (⌊err0⌋ ∨ err0 = ESUCCESS) ∧ ⟨err := err0; avol := abs(avols[default-volid]); if err = ESUCCESS then if n ≠ 0 then avol[m2] := mapped(avol[m2].data + mkempbuf(m1 - # avol[m2].data) + subarray(buf, n3, n)) else {n1 := n3; m0 := m2; m := m1; choose n2 with n2 < n ∧ is-aligned(n2, EB_PAGE_SIZE) in if n2 ≠ 0 then avol[m0] := mapped(avol[m0].data + mkempbuf(m - # avol[m0].data) + subarray(buf, n1, n2)) ifnone skip}⟩ ( avol = abs(avols[default-volid][m2, mapped(subarray(avols[default-volid][m2].data, 0, m1) + subarray(buf, n3, n2) + mkempbuf(n5), m1 + n2)]) ∧ err1 = err), n2 = 0

User applied rule exists right

And obtained the following new goals

Proof step 105:
LEB_SIZE = (n5 + n2) + m1, avols[default-volid][m2] = mapped(buf0, n4), m2 < # avols[default-volid], n2 < n, ebm-cons(avols), ebm-vol-inv(abs(avols[default-volid])), is-aligned(m1, EB_PAGE_SIZE), is-aligned(n, EB_PAGE_SIZE), is-aligned(n2, EB_PAGE_SIZE), default-volid ∈ avols, m1 + n ≤ LEB_SIZE, n3 + n ≤ # buf, n4 ≤ LEB_SIZE, m1 ≤ LEB_SIZE, n4 ≤ m1, n3 + n2 ≤ # buf, n2 + m1 ≤ LEB_SIZE, ⌊err1⌋ ⊦ (⌊err1⌋ ∨ err1 = ESUCCESS) ∧ ⟨err := err1; avol := abs(avols[default-volid]); if err = ESUCCESS then if n ≠ 0 then avol[m2] := mapped(avol[m2].data + mkempbuf(m1 - # avol[m2].data) + subarray(buf, n3, n)) else {n1 := n3; m0 := m2; m := m1; choose n2 with n2 < n ∧ is-aligned(n2, EB_PAGE_SIZE) in if n2 ≠ 0 then avol[m0] := mapped(avol[m0].data + mkempbuf(m - # avol[m0].data) + subarray(buf, n1, n2)) ifnone skip}⟩ ( avol = abs(avols[default-volid][m2, mapped(subarray(avols[default-volid][m2].data, 0, m1) + subarray(buf, n3, n2) + mkempbuf(n5), m1 + n2)]) ∧ err1 = err), n2 = 0

Rule argument

pos: right 1 terms: err1 abort: F discard: T computed: T

Additional information

Used terms: err1