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Proof step 29 from proof ebm-cons-write (previous step)

avols[v0][m0] = mapped(buf, m1), m0 < # avols[v0], m < # avols[v], v ∈ avols, v0 ∈ avols, ( avols[v][m].mapped? → # avols[v][m].data = LEB_SIZE ∧ avols[v][m].fill ≤ LEB_SIZE ∧ is-aligned(avols[v][m].fill, EB_PAGE_SIZE) ∧ range=(avols[v][m].data, avols[v][m].fill, emptyleb, 0, LEB_SIZE - avols[v][m].fill)) → leb.mapped? → # leb.data = LEB_SIZE ∧ leb.fill ≤ LEB_SIZE ∧ is-aligned(leb.fill, EB_PAGE_SIZE) ∧ range=(leb.data, leb.fill, emptyleb, 0, LEB_SIZE - leb.fill), ∀ v0. v0 ∈ avols → (∀ m0. m0 < # avols[v0] → avols[v0][m0].mapped? → # avols[v0][m0].data = LEB_SIZE ∧ avols[v0][m0].fill ≤ LEB_SIZE ∧ is-aligned(avols[v0][m0].fill, EB_PAGE_SIZE) ∧ range=(avols[v0][m0].data, avols[v0][m0].fill, emptyleb, 0, LEB_SIZE - avols[v0][m0].fill)), ∀ m0. m0 < # avols[v0] → avols[v0][m0].mapped? → # avols[v0][m0].data = LEB_SIZE ∧ avols[v0][m0].fill ≤ LEB_SIZE ∧ is-aligned(avols[v0][m0].fill, EB_PAGE_SIZE) ∧ range=(avols[v0][m0].data, avols[v0][m0].fill, emptyleb, 0, LEB_SIZE - avols[v0][m0].fill) ⊦ v0 = v, # buf = LEB_SIZE ∧ m1 ≤ LEB_SIZE ∧ is-aligned(m1, EB_PAGE_SIZE) ∧ range=(buf, m1, emptyleb, 0, LEB_SIZE - m1)

Heuristic quantifier applied rule all left

And closed the goal!

Rule argument

pos: left 8 terms: m0

Additional information

Used simplifier rules: ⊦ mapped(buf, m).mapped?; (s)% ⊦ mapped(buf, m).data = buf; (s)% ⊦ mapped(buf, m).fill = m; (s) Used terms: m0