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Theorem square-ls

⊦ i * i < j * j ↔ abs(i) < abs(j)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: square-eq, square-ex, square-le, square-le-04, square-ls-02,
Used by units in proved state: int-square,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 7
Proof steps: 10
Used lemmas: square-lez-01, pls-pos, square-abs, abs-eqall, square-lez, commutativity, associativity, ple-pos,
Used spec theorems:
- Used simplifier rules: