Theorems · Theorem · field theory
eq_ratCast
∀ {F : Type u_1} {α : Type u_3} [inst : DivisionRing α] [inst_1 : FunLike F ℚ α] [RingHomClass F ℚ α] (f : F) (q : ℚ),
f q = ↑q- Defined in
- Mathlib.Data.Rat.Cast.Defs
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- FunLikestatement and proof · cited by 2,560
- DivisionRingstatement and proof · cited by 1,062
- RingHomClassstatement and proof · cited by 193
- map_ratCastproof · cited by 10
- Rat.cast_idproof · cited by 2
Cited by26
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.prod_eq_abs_normproof · cited by 8
- hasSum_zeta_natproof · cited by 3
- bernoulliFun_eval_oneproof · cited by 3
- bernoulliFun_eval_zeroproof · cited by 3
- Rat.infinitePlace_applyproof · cited by 2
- bernoulli'_eq_zero_of_oddproof · cited by 2
- bernoulliFun_endpoints_eq_of_ne_oneproof · cited by 2
- NumberField.mixedEmbedding.det_basisOfFractionalIdeal_eq_normproof · cited by 1
- IsPrimitiveRoot.sum_eq_zero_iff_forall_eqproof · cited by 1
- NumberField.InfinitePlace.Completion.WithAbs.ratCast_equivproof · cited by 1
- ArchimedeanClass.mk_ratCastproof · cited by 1
- NumberField.discr_eq_basisMatrix_det_sqproof · cited by 1