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Theorem mod-mult-law

⊦ 0 < j → (i * i0) |%| j = (i |%| j * i0 |%| j) |%| j

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: congmod-inverse-smallest, 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: 13
Proof steps: 19
Used lemmas: mod-mult-add, mod-ex-div,
Used spec theorems:
- int-abs/add-rew
- int-mult/dist-sub-split
Used simplifier rules: