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Proof step 21 from proof absexpt-vols-write (previous step)

apebs[ebae.pnum] = mkpeb(aehdr, avhdr, buf, m2, boolvar), m < # vols[v], v ∈ vols, ∀ v1. (v1 ∈ vols ↔ v1 ∈ avols) ∧ ( v1 ∈ vols → # vols[v1] = # avols[v1] ∧ (∀ m1. (v1 ≠ v ∨ m1 ≠ m) ∧ m1 < # vols[v1] → (vols[v1][m1] = unmapped → ¬ avols[v1][m1].mapped?) ∧ ( vols[v1][m1] ≠ unmapped → avols[v1][m1].mapped? ∧ avols[v1][m1].data = apebs[vols[v1][m1].pnum].data ∧ apebs[vols[v1][m1].pnum].fill ≤ avols[v1][m1].fill) ∧ (avols[v1][m1] = erased → ¬ v1 × m1 ∈ q))) ⊦ v ∈ avols ∧ # vols[v] = # avols[v]

Heuristic quantifier applied rule all left

And closed the goal!

Rule argument

pos: left 4 terms: v

Additional information

Used terms: v