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Theorem mod-mod

⊦ 0 < j → (i |%| j) |%| j = i |%| j

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: congmod-def-mod, congmod-inverse-smallest, ex-modeq-half, fermat-for-rsa, mod-pot-pot,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: mod-le-same, mod-pos, mod-zero,
Used spec theorems:
- Used simplifier rules: