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Theorem coef-01

⊦ m * n + m0 * n = m1 * n + m2 * n ↔ ¬ ¬(m + m0 = m1 + m2 ∨ n = 0)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: coef-04, coef-09, dist-merge, numeral-07,
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: zero, mult-c, mult-a, dist, eq,
Used spec theorems:
- Used simplifier rules:
  - nat-basic2/a
  - nat-basic2/c