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Proof step 375 from proof refine-read-buf (previous step)

# buf0 = n0 + n, # avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, # buf3 = n0 + n, avol1[m2] = mapped(buf1), err = err1, m2 < # avol1, abs(avol1, bleb, mkwbuf(buf2, m6, m4), avol0, rofs), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), range=(buf3, n, buf0, n, n0), m0 + n ≤ LEB_SIZE, ⌊err1⌋ , bleb ≠ nobuffer → bleb.leb < # avol1 ∧ avol0[bleb.leb].mapped? ∧ m4 < EB_PAGE_SIZE ∧ (¬ rofs → # avol0[bleb.leb].data = m6) ∧ (rofs → m6 ≤ # avol0[bleb.leb].data) ∧ is-aligned(m6, EB_PAGE_SIZE) ⊦ ∃ buf. (# buf = n0 + n → n0 + n ≥ n) ∧ (# buf = n0 + n ∧ range=(buf, n, buf3, n, n0 + n - n)) ∧ ⟨buf3 := buf⟩ (buf0 = buf3 ∧ err1 = err)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 376:
# buf3 = n0 + n, # buf2 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, # buf0 = n0 + n, avol1[m2] = mapped(buf1), m2 < # avol1, abs(avol1, bleb, mkwbuf(buf2, m6, m4), avol0, rofs), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), range=(buf3, n, buf0, n, n0), m0 + n ≤ LEB_SIZE, ⌊err1⌋ , bleb ≠ nobuffer → bleb.leb < # avol1 ∧ avol0[bleb.leb].mapped? ∧ m4 < EB_PAGE_SIZE ∧ (¬ rofs → # avol0[bleb.leb].data = m6) ∧ (rofs → m6 ≤ # avol0[bleb.leb].data) ∧ is-aligned(m6, EB_PAGE_SIZE) ⊦ ∃ buf. # buf = n0 + n ∧ range=(buf, n, buf3, n, n0) ∧ ⟨buf3 := buf⟩ (buf0 = buf3)

Rule argument

Additional information

Used simplifier rules: ⊦ m + n - m = n; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m ≤ m + n; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)