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Theorem bor-notAndNot

⊦ bor(i, j) = bcompl(band(bcompl(i), bcompl(j)))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: bor-assoc, bor-bitlength, bor-com, bor-zero, cast-law-or-one,
Used by units in proved state: byte,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 8
Proof steps: 16
Used lemmas: and-com, and-sgn, and-notempty, or-invandinv, band-commutativity, band-associativity, band-def, bcompl-def, bor-def,
Used spec theorems:
- int2bits/bits2bits-def
- bitopsaux/inv-sgn
Used simplifier rules: