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Proof step 126 from proof prepost-read-log (previous step)

# buf = EB_PAGE_SIZE, LEB_SIZE = n1 + logoff0, avol[m5] = mapped(buf0), buf1 = buf, err = err0, n = EB_PAGE_SIZE, n0 = 0, logoff0 < LEB_SIZE, m5 < # avol, ebm-vol-inv(avol), is-aligned(logoff0, EB_PAGE_SIZE), is-encoded(log, subarray(buf0, 0, logoff0)), is-encoded(log0, buf0), logoff0 ≤ # buf0, logoff0 + EB_PAGE_SIZE ≤ LEB_SIZE, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ err = ESUCCESS, n1 = 0, ∃ buf. # buf = # buf1 ∧ range=(buf1, 0, buf, 0, n0) ∧ range=(buf1, n0 + n, buf, n0 + n, # buf1 - n0 + n)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 127:
# buf = EB_PAGE_SIZE, LEB_SIZE = n1 + logoff0, avol[m5] = mapped(buf0), m5 < # avol, logoff0 < LEB_SIZE, ebm-vol-inv(avol), is-aligned(logoff0, EB_PAGE_SIZE), is-encoded(log0, buf0), is-encoded(log, subarray(buf0, 0, logoff0)), logoff0 + EB_PAGE_SIZE ≤ LEB_SIZE, logoff0 ≤ # buf0, ⌊err0⌋ ⊦ n1 = 0, ∃ buf1. # buf1 = EB_PAGE_SIZE ∧ EB_PAGE_SIZE ≤ # buf1

Rule argument

Additional information

Used simplifier rules: ⊦ m ≤ m; (s)% ⊦ m - m = 0; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)% ⊦ 0 ≤ m; (s)% ⊦ range=(buf, n0, buf0, n1, 0) ↔ n0 ≤ # buf ∧ n1 ≤ # buf0; (s)% ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)