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Proof step 7 from proof ebm-cons-write (previous step)

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

Proof step 8:
m < # avols[v], v ∈ 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), v ∈ avols[v, avols[v][m, mapped(buf, m1)]] → (∀ m0. m0 < # avols[v, avols[v][m, mapped(buf, m1)]][v] → avols[v, avols[v][m, mapped(buf, m1)]][v][m0].mapped? → # avols[v, avols[v][m, mapped(buf, m1)]][v][m0].data = LEB_SIZE ∧ avols[v, avols[v][m, mapped(buf, m1)]][v][m0].fill ≤ LEB_SIZE ∧ is-aligned(avols[v, avols[v][m, mapped(buf, m1)]][v][m0].fill, EB_PAGE_SIZE) ∧ range= (avols[v, avols[v][m, mapped(buf, m1)]][v][m0].data, avols[v, avols[v][m, mapped(buf, m1)]][v][m0].fill, emptyleb, 0, LEB_SIZE - avols[v, avols[v][m, mapped(buf, m1)]][v][m0].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)), ∀ v0. v0 ∈ avols[v, avols[v][m, mapped(buf, m1)]] → (∀ m0. m0 < # avols[v, avols[v][m, mapped(buf, m1)]][v0] → avols[v, avols[v][m, mapped(buf, m1)]][v0][m0].mapped? → # avols[v, avols[v][m, mapped(buf, m1)]][v0][m0].data = LEB_SIZE ∧ avols[v, avols[v][m, mapped(buf, m1)]][v0][m0].fill ≤ LEB_SIZE ∧ is-aligned(avols[v, avols[v][m, mapped(buf, m1)]][v0][m0].fill, EB_PAGE_SIZE) ∧ range= (avols[v, avols[v][m, mapped(buf, m1)]][v0][m0].data, avols[v, avols[v][m, mapped(buf, m1)]][v0][m0].fill, emptyleb, 0, LEB_SIZE - avols[v, avols[v][m, mapped(buf, m1)]][v0][m0].fill)) ⊦ # buf = LEB_SIZE ∧ m1 ≤ LEB_SIZE ∧ is-aligned(m1, EB_PAGE_SIZE) ∧ range=(buf, m1, emptyleb, 0, LEB_SIZE - m1)

Rule argument

pos: left 4 terms: v

Additional information

Used terms: v