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Theorem mod-ls-zero

0 < j ⊦ i % (* j) < 0 ↔ i < 0 ∧ i % j ≠ 0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: mod-grz, mod-zero-01, mod-less-01,
Used spec theorems:
- Used simplifier rules: