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Theorem square-ls-03

⊦ m0 ≤ m ∧ m ≤ n → (m * (m + 1)) / 2 + m0 < ((n + 1) * (n + 2)) / 2

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 9
Proof steps: 10
Used lemmas: square-even-02, mod-mult-01, square-even-03, mod-once, mod-add, ls-even, ls-02, mult, two-rec, square-ls,
Used spec theorems:
- nat/lels
- nat-mult/dist
Used simplifier rules: