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Theorem square-ls

⊦ m * (m + 1) < n * (n + 1) ↔ m < n

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: square-eq, square-interval, square-le, square-ls-01, square-ls-02,
Used by units in proved state: nat-div,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 10
Proof steps: 16
Used lemmas: ls, le-num, square-less, two-02, succ, dist, rsucc-01, mult-c, mult-a,
Used spec theorems:
- nat/fle
- nat/fle-01
Used simplifier rules: