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Theorem uint2bits-len-mon-01

⊦ 0 ≤ i ∧ i ≤ j → (¬ # uint2bits(i) ≤ # uint2bits(j) ↔ false)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: uint2bits-len-mon, uint2bits-empty,
Used spec theorems:
- Used simplifier rules:
  - list-data/bitlista/l
  - int-abs/forward-lele
  - nat-basic1/f
  - nat/lels-01
  - int-abs/lels-01
  - int-abs/lels-04
  - nat/fle-01
  - nat/fle
  - nat-basic1/ref-1