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Theorem square-ls-02

⊦ (m * (m + 1)) / 2 < (n * (n + 1)) / 2 ↔ m < n

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: square-ls-01, square-nle-01,
Used by units in proved state: nat-pair,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 2
Used lemmas: square-even-02, ls-even,
Used spec theorems:
- nat-mult/square-ls
Used simplifier rules: