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Theorem bxor-def-logic

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

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 22
Proof steps: 39
Used lemmas: bitsxor-is-orand, bitsor-com, bitsor-bi-sgn, and-com, and-sgn, and-notempty, bor-def, band-def, bcompl-def, bxor-def,
Used spec theorems:
- int2bits/bits2bits-def
Used simplifier rules: