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Theorem coef-08

⊦ m * n < m1 * n + m2 * n ↔ ¬ ¬(m < m1 + m2 ∧ n ≠ 0)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: coef-05, coef-21, coef-23,
Used by units in proved state: nat-div,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 1
Used lemmas: mult-c, mult-a, zero, coef-03,
Used spec theorems:
- Used simplifier rules: