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Theorem mod-nls-01

⊦ j ≤ i0 ∧ 0 < j → ¬ i0 < i % j

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: mod-le-01, mod-le-num, mod-ls-same-02,
Used by units in proved state: int-gcd,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: mod-pos-not-neg, div-elim-pos,
Used spec theorems:
- Used simplifier rules: