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Theorem cong-mult

⊦ ≡mod(j0 * j + i, i0, j) ↔ ≡mod(i, i0, j)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: cong-add,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas: mod-mult-add, congmod-def, congmod-def-mod,
Used spec theorems:
- Used simplifier rules: