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Theorem div-gcd-neg-not-zero

⊦ i0 < 0 → i0 / gcd(i, i0) ≠ 0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: div-gcd-is-neg-01-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: div-gcd-zero, gcd-zero-04, gcd-com, gcd-zero-03, abs-gcd-not-less,
Used spec theorems:
- Used simplifier rules: