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Theorem lls-02

n ≠ 0 ⊦ log2 m < log2 n → m < n

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: Log2def, pot-mon, two-pot-zero, pot2-def, potex,
Used spec theorems:
- Used simplifier rules:
  - nat/let
  - nat/lez-01
  - nat/ler
  - nat/lels
  - nat-basic2/c
  - nat-basic2/a
  - nat-basic2/s
  - nat/fle-01
  - nat/fle
  - nat-basic1/f
  - nat-basic2/succ
  - nat-basic1/ref-1