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Proof step 2 from proof inv-unmap (previous step)

awbuf-inv(avol, bleb) ⊦ bleb = buffered(n), awbuf-inv(avol[n, unmapped], bleb)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
bleb ≠ nobuffer → bleb.leb < # avol ∧ avol[bleb.leb].mapped?, ∀ n. n < # avol ∧ avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ (buffered(n) ≠ bleb → is-aligned(# avol[n].data, EB_PAGE_SIZE)) ⊦ bleb = buffered(n), ( n0 < # avol ∧ avol[n, unmapped][n0].mapped? → # avol[n0].data ≤ LEB_SIZE ∧ (buffered(n0) ≠ bleb → is-aligned(# avol[n0].data, EB_PAGE_SIZE))) ∧ (bleb ≠ nobuffer → bleb.leb < # avol ∧ avol[n, unmapped][bleb.leb].mapped?)

Rule argument

Additional information

Used simplifier rules: awbuf-inv-def: ⊦ awbuf-inv(avol, bleb) ↔ ¬ ¬ ( (∀ n. n < # avol ∧ avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ ( buffered(n) ≠ bleb → is-aligned(# avol[n].data, EB_PAGE_SIZE))) ∧ (bleb ≠ nobuffer → bleb.leb < # avol ∧ avol[bleb.leb].mapped?));%m ≠ n ⊦ avol[m, aleb][n] = avol[n]; (s)% ⊦ ¬ unmapped.mapped?; (s)% ⊦ m < # avol → avol[m, aleb][m] = aleb; (s)% ⊦ # avol[n, aleb] = # avol; (s)