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Theorem bits2int-sgn

⊦ bits2int(sgn(bits)) = bits2int(bits)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: bits2bits-invert, bits2int-fill, bits2int-neg-1bit, bits2int-neg-1bit-01, bits2int-ones, bits2int-sgn-intro, int2bits-rec-2pot-neg-02, uint2int-invsucc,
Used by units in proved state: intops, bytes,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas: bits2int-sign,
Used spec theorems:
- bitopsaux/sgn-ex
Used simplifier rules:
- bitopsaux/sgn-not-empty-01
- bitopsaux/sgn-first
- list-last/bitlista/mk-elem
- bitlista/inmklist-01
- bitopsaux/sgn-mklist
- list/bitlista/in-17
- bitopsaux/sgn-in-02
- list-last/bitlista/mk-in
- list/bitlista/in-append
- list/bitlista/in-14
- list/bitlista/e-01
- list/bitlista/c
- list-data/bitlista/elim-list-c
- list-last/bitlista/mk-empty
- list/bitlista/a
- list/bitlista/app
- bitopsaux/sgn-empty