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Theorem bor-bitlength

# int2bits(i) < n, # int2bits(j) < n ⊦ # int2bits(bor(i, j)) < n

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 5
Used lemmas: bcompl-size-01, band-bitlength, band-commutativity, bcompl-size, bor-notAndNot,
Used spec theorems:
- Used simplifier rules:
  - nat/le-ls-simp
  - nat/let
  - int2bits/int2bits-not-empty
  - list-data/bitlista/l
  - nat-basic1/f
  - nat/fle
  - nat/lels