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Theorem mod-ls

⊦ m0 < m ∧ n ≤ n0 ∧ n2 < n0 ∧ n1 < n → m0 * n + n1 < m * n0 + n2

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: mult-c, mult-a, modls-01,
Used spec theorems:
- Used simplifier rules:
  - nat-basic2/c
  - nat-basic2/a