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Theorem mod-zero

⊦ 0 ≤ i ∧ i < j → i |%| j = i

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: RSA-decrypt-ij-vars, congmod-def-mod-01, congmod-inverse-pos, congmod-inverse-smallest, fermat-2-mod, mod-mod, mod-rec-any, mod-zero-03, rem-mod-pos,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 4
Used lemmas: mod-pos-def,
Used spec theorems:
- Used simplifier rules: