Theorems · Definition · number theory
FiniteField.ringEquivOfCardEq
{K : Type u_1} →
{K' : Type u_2} →
[inst : Field K] →
[inst_1 : Field K'] → [inst_2 : Fintype K] → [inst_3 : Fintype K'] → Fintype.card K = Fintype.card K' → K ≃+* K'Uniqueness of finite fields: Any two finite fields of the same cardinality are (possibly noncanonically) isomorphic
- Defined in
- Mathlib.FieldTheory.Finite.GaloisField
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- Nat.Primeproof · cited by 2,059
- Fintype.cardstatement and proof · cited by 1,386
- RingEquivstatement · cited by 1,147
- CharPproof · cited by 478
- PNatproof · cited by 392
- PNat.valproof · cited by 226
- AlgEquiv.toRingEquivproof · cited by 137
- FiniteField.cardproof · cited by 10
- FiniteField.algEquivOfCardEqproof · cited by 0
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