Theorems · Definition · group theory
Even
{α : Type u_2} → [Add α] → α → PropAn element a of a type α with addition satisfies Even a if a = r + r,
for some r : α.
- Defined in
- Mathlib.Algebra.Group.Even
- Cited by
- 444 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 9 definitions · uses no axioms
- Assumes
- Add
Around this declaration
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Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by467
Results whose statement or proof uses this declaration.
- even_two_mulstatement · cited by 102
- Even.neg_powstatement and proof · cited by 99
- Even.pow_nonnegstatement and proof · cited by 94
- Nat.not_even_iff_oddstatement · cited by 34
- Nat.even_or_oddstatement · cited by 28
- Int.fibproof · cited by 26
- even_iff_two_dvdstatement · cited by 25
- WeierstrassCurve.ΨSqproof · cited by 23
- Even.neg_one_powstatement and proof · cited by 20
- normEDSproof · cited by 18
- even_twostatement · cited by 17
- WeierstrassCurve.Φproof · cited by 17
Showing the 200 most cited of 467.