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Theorem band-bitlength

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

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 15
Used lemmas: bitsand-len-true, bitsand-len-false, and-com, and-notempty-09, band-def,
Used spec theorems:
- Used simplifier rules: