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Theorem valid-wl-map

n < # apebs, # apebs = # wlar ⊦ valid-wl(apebs, wlar) ∧ valid-peb(apeb) ∧ (valid-sqns(apeb.vidhdr.vol, apeb.vidhdr.leb, apebs) ≠ ∅ → apeb.vidhdr.sqn > valid-sqns(apeb.vidhdr.vol, apeb.vidhdr.leb, apebs).max) ∧ apeb.vidhdr.vol ∈ vols ∧ apeb.vidhdr.leb < # vols[apeb.vidhdr.vol] ∧ vols[apeb.vidhdr.vol][apeb.vidhdr.leb] = unmapped ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ valid-vtbl(apebs, vols, wlar, n0) ∧ ¬ VTBL_VOLID ∈ vols ∧ apeb.echdr.ec = m0 → valid-wl(apebs[n, apeb], wlar[n, wl-entry(m0, used)])

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state: ubi-asm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 20
Used lemmas: valid-ebatbl, valid-vtbl, valid-wl, valid-wl-use,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/lf-01
  - nat/gr-def
  - array/apebs/cngetput
  - array/wlarray-base/Put-same
  - array/wlarray-base/Size-put
  - apeb/elim
  - wlentry/elim-02
  - ebaentry/disj
  - wlentry/sel-04
  - wlstatus/disj-02
  - apeb/sel-08
  - apeb/sel-05
  - valid-peb/valid-peb-leb
  - valid-peb/valid-peb-vol
  - wlstatus/disj-03
  - apeb/sel-04
  - wlentry/sel-05
  - wlstatus/disj-01
  - valid-peb/valid-peb-valid-vidhdr
  - nat-basic/lf-02
  - nat/lels
  - nat/ls-le-simp
  - sqns/valid-peb-sqns-nonempty0
  - apeb/inj
  - wlentry/inj-03
  - nat-basic/f