Theorems · Theorem · number theory
Subfield.card_bot
∀ (F : Type u_3) [inst : Field F] (p : ℕ) [Fact (Nat.Prime p)] [CharP F p], Nat.card ↥⊥ = p
- Defined in
- Mathlib.FieldTheory.Finite.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Bot.botstatement · cited by 4,720
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Nat.cardstatement and proof · cited by 844
- CharPstatement and proof · cited by 478
- Subfieldstatement and proof · cited by 303
- dvd_rflproof · cited by 80
- ZMod.castHomproof · cited by 55
- Nat.card_zmodproof · cited by 13
- RingHom.rangeRestrictFieldproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Subfield.roots_X_pow_char_sub_X_botproof · cited by 2
- Subfield.splits_botproof · cited by 1