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Theorem congmod-def-mod-01

⊦ 0 ≤ i ∧ 0 ≤ i0 ∧ j ≠ 0 → (≡mod(i, i0, j) ↔ i |%| j = i0 |%| j)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: RSA-decrypt-ij-vars,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 14
Proof steps: 22
Used lemmas: mod-zero, mod-pos-def, mod-neg-def, congmod-def-mod, congmod-mod-abs,
Used spec theorems:
- int-div/mod-abs
Used simplifier rules: