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Proof step 7 from proof absexpt-idset (previous step)

# vols[v0] = # avols[v0], vols[v][m] = ⌜n⌝ , apebs1[vols[v0][m0].pnum] = mkpeb(aehdr, avhdr, buf, m1, boolvar), m < # vols[v], m0 < # avols[v0], id(apebs1, apebs0, mapped-pebs(vols) -- n), valid-ebatbl(apebs0, wlar, vols, n0), v ∈ vols, v0 ∈ vols, v0 ∈ avols, m0 < # avols[v0] → (vols[v0][m0] = unmapped → ¬ avols[v0][m0].mapped?) ∧ ( vols[v0][m0] ≠ unmapped → avols[v0][m0].mapped? ∧ avols[v0][m0].data = apebs0[vols[v0][m0].pnum].data ∧ apebs0[vols[v0][m0].pnum].fill ≤ avols[v0][m0].fill) ∧ (avols[v0][m0] = erased → ¬ v0 × m0 ∈ q), v0 ≠ v ∨ m0 ≠ m ⊦ (vols[v0][m0] = unmapped → ¬ avols[v0][m0].mapped?) ∧ (vols[v0][m0] ≠ unmapped → avols[v0][m0].mapped? ∧ avols[v0][m0].data = buf ∧ m1 ≤ avols[v0][m0].fill) ∧ (avols[v0][m0] = erased → ¬ v0 × m0 ∈ q)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
# vols[v0] = # avols[v0], avols[v0][m0].data = apebs0[vols[v0][m0].pnum].data, apebs1[vols[v0][m0].pnum] = mkpeb(aehdr, avhdr, buf, m1, boolvar), vols[v][m] = ⌜n⌝ , avols[v0][m0].mapped?, m0 < # avols[v0], m < # vols[v], id(apebs1, apebs0, mapped-pebs(vols) -- n), valid-ebatbl(apebs0, wlar, vols, n0), v0 ∈ avols, v0 ∈ vols, v ∈ vols, apebs0[vols[v0][m0].pnum].fill ≤ avols[v0][m0].fill, avols[v0][m0] = erased → ¬ v0 × m0 ∈ q, v0 ≠ v ∨ m0 ≠ m ⊦ vols[v0][m0] = unmapped, avols[v0][m0].data = buf ∧ m1 ≤ avols[v0][m0].fill

Proof step 7 from proof absexpt-idset (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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