Theorems · Theorem · number theory
FiniteField.odd_card_of_char_ne_two
∀ {F : Type u_3} [inst : Field F] [inst_1 : Fintype F], ringChar F ≠ 2 → Fintype.card F % 2 = 1- Defined in
- Mathlib.FieldTheory.Finite.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Fintype.cardstatement · cited by 1,386
- ringCharstatement and proof · cited by 73
- FiniteField.even_card_iff_char_twoproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- quadraticChar_neg_oneproof · cited by 5
- FiniteField.pow_dichotomyproof · cited by 2
- FiniteField.unit_isSquare_iffproof · cited by 2
- FiniteField.isSquare_neg_one_iffproof · cited by 1
- FiniteField.isSquare_neg_two_iffproof · cited by 1
- FiniteField.isSquare_two_iffproof · cited by 1