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Theorem sgn-base-03

⊦ bits ≠ [] ∧ (bits.first ↔ ¬ boolvar) → sgn(boolvar ' + bits) = boolvar ' + bits

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: bitsinvert-size, fill-sgn-02, lastn-fill-sgn, sgn-2pot, sgn-base-04, sgn-base-05, sgn-ex-01, sgn-last-01, sgn-last-04, sgn-last-diff, sgn-lastn-01, sgn-true-mklist, sgn-two-02, sgn-two-03,
Used by units in proved state: int2bits, bytes,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: sgn-base,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/c
  - list/bitlista/e-01
  - list/bitlista/a
  - list/bitlista/app-01
  - list-data/bitlista/elim-list-c