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Proof step 79 from proof refine-commit (previous step)

# buf = EB_PAGE_SIZE, # lpt1 = # avol1, # avol0 = # avol1, # lpt2 = # avol1, avol0[m] = mapped(buf0), m < # avol1, n < # avol1, awbuf-inv(avol1, buffered(m)), ebm-vol-inv(avol0), synced(avol1), wbuf-cons(mkwbuf(buf, m1, m2), mapped(buf0), rofs), ⌊err1⌋ , ∀ n0. n0 < # avol1 → (n0 ≠ m → avol1[n0] = avol0[n0]) ∧ (¬ rofs ∧ n0 = m → avol1[m] = mapped(buf0 + subarray(buf, 0, m2))) ∧ ( rofs ∧ n0 = m → m1 = # buf0 ∧ avol1[m] = mapped(buf0 + subarray(buf, 0, m2)) ∨ m1 < # buf0 ∧ m1 + m2 < # buf0 ∧ avol1[m] = mapped(buf0) ∧ subarray(buf, 0, m2) = subarray(buf0, m1, m2)) ⊦ (n ≠ m → avol1[n] = avol0[n]) ∧ ( n = m → m1 = # buf0 ∧ avol1[m] = mapped(buf0 + subarray(buf, 0, m2)) ∨ m1 < # buf0 ∧ m1 + m2 < # buf0 ∧ avol1[m] = mapped(buf0) ∧ subarray(buf, 0, m2) = subarray(buf0, m1, m2))

User applied rule all left

And obtained the following new goals

Proof step 80:
# lpt2 = # avol1, # avol0 = # avol1, # lpt1 = # avol1, # buf = EB_PAGE_SIZE, avol0[m] = mapped(buf0), n < # avol1, m < # avol1, awbuf-inv(avol1, buffered(m)), ebm-vol-inv(avol0), synced(avol1), wbuf-cons(mkwbuf(buf, m1, m2), mapped(buf0), rofs), ⌊err1⌋ , n < # avol1 → (n ≠ m → avol1[n] = avol0[n]) ∧ (¬ rofs ∧ n = m → avol1[m] = mapped(buf0 + subarray(buf, 0, m2))) ∧ ( rofs ∧ n = m → m1 = # buf0 ∧ avol1[m] = mapped(buf0 + subarray(buf, 0, m2)) ∨ m1 < # buf0 ∧ m1 + m2 < # buf0 ∧ avol1[m] = mapped(buf0) ∧ subarray(buf, 0, m2) = subarray(buf0, m1, m2)) ⊦ (n ≠ m → avol1[n] = avol0[n]) ∧ ( n = m → m1 = # buf0 ∧ avol1[m] = mapped(buf0 + subarray(buf, 0, m2)) ∨ m1 < # buf0 ∧ m1 + m2 < # buf0 ∧ avol1[m] = mapped(buf0) ∧ subarray(buf, 0, m2) = subarray(buf0, m1, m2))

Rule argument

pos: left 13 terms: n abort: F discard: T computed: T

Additional information

Used terms: n