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Theorem square-interval

i * (i + 1) ≤ j * (j + 1) + 2 * j0, j * (j + 1) + 2 * j0 < (i + 1) * (i + 2), j0 ≤ j, 0 ≤ i, 0 ≤ j0 ⊦ i = j

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: square-inject,
Used by units in proved state: int-div,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 7
Proof steps: 8
Used lemmas: le-pos, numle-03, zero-ls, numls-04, numsucc, commutativity, associativity, one, dist-lsplit, square-ls-02,
Used spec theorems:
- Used simplifier rules: