Theorems · Theorem · number theory
ZMod.fieldRange_castHom_eq_bot
∀ {K : Type u_1} (p : ℕ) [inst : Fact (Nat.Prime p)] [inst_1 : DivisionRing K] [inst_2 : CharP K p],
(ZMod.castHom ⋯ K).fieldRange = ⊥- Defined in
- Mathlib.FieldTheory.Finite.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FactDivisionRingCharP
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- Bot.botstatement and proof · cited by 4,720
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- DivisionRingstatement and proof · cited by 1,062
- ZModstatement and proof · cited by 1,024
- CharPstatement and proof · cited by 478
- Subfieldstatement and proof · cited by 303
- dvd_rflstatement and proof · cited by 80
- ZMod.castHomstatement and proof · cited by 55
- RingHom.fieldRangestatement · cited by 40
- Subfield.mapproof · cited by 30
Cited by2
Results whose statement or proof uses this declaration.
- Subfield.card_botproof · cited by 2
- mem_bot_iff_intCastproof · cited by 0