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Theorem modls

⊦ n0 < m0 → (m0 * m + n0 < m0 * n ↔ m < n)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: le2-04, two-succ-04,
Used by units in proved state: nat-div,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 10
Used lemmas: modp, modeq, ls, mult-c, mult-a, zero-01,
Used spec theorems:
- Used simplifier rules: