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Theorem modex

⊦ n ≠ 0 → (m % n = 0 ↔ (∃ n0. m = n0 * n))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: div-add, exmult, mod-add, mod-by6, mod-mod, mod-mod-01, mult-div, two-le-03, two-ls-04, two-ls-05,
Used by units in proved state: nat-prime, int-pair,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: div-elim, mod-mult-01,
Used spec theorems:
- Used simplifier rules: