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Theorem lebs-size

n + m < # avol ⊦ ebm-vol-inv(avol) → # lebs(avol, n, m) = m * LEB_SIZE

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 11
Used lemmas: lebs-rec, lebs-base,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/f
  - array/buffer/Size-mkarray
  - nat-mult/zero
  - nat-mult/mult-a
  - nat-mult/rsucc-02
  - nat-basic/succ
  - nat-basic/nls-fst
  - nat/eq-02
  - ebm-vol-inv/ebm-vol-inv-lebsize
  - nat/le-def
  - aleb/sel
  - aleb/ex
  - array-splice/buffer/append-a
  - array-splice/buffer/append-len
  - nat-mult/mult-c
  - aleb/aleb-not-mapped
  - nat-basic/c
  - nat-basic/a
  - nat-basic/eq-01
  - array-splice/buffer/emparray-len