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Theorem ls-even-01

⊦ i % 2 = 0 ∧ j % 2 = 0 → (i / 2 < j / 2 ↔ i < j)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 16
Proof steps: 27
Used lemmas: div-ls-mone, nummult-le-01, div-elim-negpos, div-ls-zero, lstwozero, two-even, mod-ls-same-02, divmult, num-ls, neg-01, mod-neg-01, ls-even,
Used spec theorems:
- int-abs/le-def
- int-abs/lels
Used simplifier rules: