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Theorem le

⊦ m0 ≠ 0 → (m0 * m ≤ m0 * n ↔ m ≤ n)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: coef-02, coef-05, le-03, le-num, le-rew, ls-02, mult-ineq-le, square-less, square-ls-05,
Used by units in proved state: nat-pair, nat-div, nat-prime, nat-pot,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: numeral-05, mult-a, zero-06, mult-c, numeral-03,
Used spec theorems:
- Used simplifier rules: