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Theorem mod-zero-01

⊦ 0 < j ∧ 0 ≤ i → ¬ i % j < 0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: abs-shift, mod-add-zero, mod-ls-zero, mod-lsz, mod-nle-02, mod-zero, mod-zero-02, mod-zero-ls, mod-zero-one, modmod-ma,
Used by units in proved state: intnat,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: ls-same-pos-02, mod-rew, mod-ls-same,
Used spec theorems:
- Used simplifier rules: