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Theorem sgn-rec-01

bits ≠ [], bits.first ↔ boolvar ⊦ sgn(boolvar ' + bits) = sgn(bits)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: bitsinvert-size, fill-sgn-02, inv-sgn, lastn-fill-sgn, sgn-append-01, sgn-append-02, sgn-append-03, sgn-ex, sgn-first, sgn-in-01, sgn-last-04, sgn-lastn-01, sgn-length, sgn-length-02, sgn-mklist, sgn-mklist-03, sgn-not-empty, sgn-not-empty-01, sgn-notsame, sgn-notsame-01, sgn-one-01, sgn-sgn, sgn-sgn-01, sgn-two, sgn-two-01, sgn-zero, sgn-zeros,
Used by units in proved state: intops, int2bits, bytes,
Proof exists?: Yes

View the proof

Infos about the proof

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