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Theorem mod-neq-02

⊦ n0 < n ∧ n0 ≠ 0 → m * n ≠ m0 * n + n0

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by: mod-neq-03, modeq-01, mult-eq-succ-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: ls-01, zero-01, mult-c, mult-a, coef-04, numeral-08, numeral-07,
Used spec theorems:
- Used simplifier rules: