Theorems · Theorem · number theory
FiniteField.isSquare_of_char_two
∀ {F : Type u_3} [inst : Field F] [Finite F], ringChar F = 2 → ∀ (a : F), IsSquare aIn a finite field of characteristic 2, all elements are squares.
- Defined in
- Mathlib.FieldTheory.Finite.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Finitestatement and proof · cited by 3,029
- CharPproof · cited by 478
- IsSquarestatement · cited by 132
- ringCharstatement and proof · cited by 73
- ringChar.of_eqproof · cited by 6
- isSquare_of_charTwo'proof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- quadraticCharFun_eq_one_of_char_twoproof · 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