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Proof step 15 from proof lebs-size-mappedfull (previous step)

# lebs(avol, n, m0) = m0 * LEB_SIZE, avol[n + m0] = mapped(buf), n + m0 < # avol, n + m0 + 1 < # avol, ∀ n0. n ≤ n0 ∧ ¬ n + m0 < n0 ∧ n0 < # avol → avol[n0].mapped? ∧ # avol[n0].data = LEB_SIZE ⊦ # buf + (LEB_SIZE - # buf) = LEB_SIZE

User applied rule all left

And closed the goal!

Rule argument

pos: left 5 terms: n + m0 abort: F discard: T computed: T

Additional information

Used simplifier rules: ⊦ m ≤ m + n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m + n < m + n0 ↔ n < n0; (s)% ⊦ ¬ n < n; (s)% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)% ⊦ mapped(buf).data = buf; (s)% ⊦ mapped(buf) = mapped(buf0) ↔ buf = buf0; (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)%n ≤ m ⊦ (m - n) + n0 = n1 ↔ m + n0 = n + n1; (s) Used terms: n + m0