Theorems · Theorem · number theory
FiniteField.expand_card
∀ {K : Type u_1} [inst : Field K] [inst_1 : Fintype K] (f : Polynomial K),
(Polynomial.expand K (Fintype.card K)) f = f ^ Fintype.card K- Defined in
- Mathlib.FieldTheory.Finite.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHomproof · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- Factproof · cited by 2,726
- Nat.Primeproof · cited by 2,059
- Fintype.cardstatement and proof · cited by 1,386
- Polynomial.mapproof · cited by 806
- CharPproof · cited by 478
- PNatproof · cited by 392
Cited by2
Results whose statement or proof uses this declaration.
- ZMod.expand_cardproof · cited by 4
- FiniteField.Matrix.charpoly_pow_cardproof · cited by 2