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Theorem refine-map

v ∈ avols, vtblpnum < # avols[v], ¬ avols[v][vtblpnum].mapped?, abs(avols, apebs, vols, q), ebm-cons(avols), ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum0, sqnum), vtblpnum1 = LEB_SIZE, vtblpnum2 = EB_PAGE_SIZE, ubi-io-inv(apebs) ⊦ ⟪ubi_map#(v, vtblpnum, vtblpnum2; vols, wlar, q, bflipset, vtblpnum0, sqnum, apebs; err)⟫ ⟨ebm_map#(v, vtblpnum; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ err = err0)

Type: A proof obligation
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 49
Used lemmas: lf-mapped-in-apebs, lf-elim-unmapped, emptyleb-mkempbuf, refine-write,
Used spec theorems:
- Used simplifier rules:
  - ubi-base/ubi-cons
  - eraseblock/page-size
  - align/is-aligned-zero
  - ubi-abs/abs-vols-size
  - ubi-abs/abs-vols-in
  - array-splice/buffer/append-a
  - array-splice/buffer/mkemparray0-append-left
  - array-splice/buffer/append-zero-left
  - array-copy/buffer/subarray-elim
  - array/buffer/Size-mkarray
  - nat-basic/c
  - nat-basic/a
  - nat/sub-base
  - nat/lez
  - nat/ge
  - error-class/esuccess
  - ubi-abs/abs-vols-unmapped
  - error-class/not-esuccess
  - ubi-abs/abs-vols-mapped
  - nat-basic/f
  - ubi-abs/abs-avols-size
  - ubi-abs/abs-avols-in