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Theorem mod-zero-06

⊦ 0 ≤ i ∧ j ≠ 0 → ¬ i % j < 0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: abs-shift, abs-shift-01, mod-gez, mod-lsz-01, mod-nls-02,
Used by units in proved state: int-pot,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas: div-elim-posneg, nummult-ls-02, div-mone-01, ls-same-pos-02, mod-rew, mod-ls-same-01,
Used spec theorems:
- Used simplifier rules: