Theorems · Definition · field theory
Rat.castHom
(α : Type u_3) → [inst : DivisionRing α] → [CharZero α] → ℚ →+* α
Coercion ℚ → α as a RingHom.
- Defined in
- Mathlib.Data.Rat.Cast.CharZero
- Cited by
- 33 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRingCharZero
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.
- RingHomstatement · cited by 10,189
- DivisionRingstatement and proof · cited by 1,062
- CharZerostatement and proof · cited by 932
- Rat.cast_oneproof · cited by 52
- Rat.cast_zeroproof · cited by 29
- Rat.cast_mulproof · cited by 19
- Rat.cast_addproof · cited by 19
Cited by36
Results whose statement or proof uses this declaration.
- Rat.cast_divproof · cited by 37
- Rat.cast_invproof · cited by 22
- isCusp_SL2Z_iff'proof · cited by 7
- Archimedean.ratLt'proof · cited by 5
- Rat.cast_zpowproof · cited by 4
- isCusp_SL2Z_iffproof · cited by 3
- Rat.cast_sumproof · cited by 3
- Padic.withValRingEquivproof · cited by 3
- CongruenceSubgroup.exists_Gamma_le_conj'statement and proof · cited by 2
- Padic.isUniformInducing_cast_withValstatement · cited by 2
- CuspFormClass.petersson_bounded_leftproof · cited by 2
- Rat.coe_castHomstatement · cited by 2