Theorems · Theorem · field theory
map_ratCast
∀ {F : Type u_1} {α : Type u_3} {β : Type u_4} [inst : FunLike F α β] [inst_1 : DivisionRing α]
[inst_2 : DivisionRing β] [RingHomClass F α β] (f : F) (q : ℚ), f ↑q = ↑q- Defined in
- Mathlib.Data.Rat.Cast.Defs
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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_natCastproof · cited by 134
- map_div₀proof · cited by 98
- map_intCastproof · cited by 45
- Rat.cast_defproof · cited by 20
Cited by10
Results whose statement or proof uses this declaration.
- eq_ratCastproof · cited by 26
- RCLike.ofReal_ratCastproof · cited by 2
- isAlgebraic_ratCastproof · cited by 1
- ArchimedeanClass.stdPart_ratCastproof · cited by 1
- DirectLimit.ratCast_defproof · cited by 1
- star_ratCastproof · cited by 1
- algebraMap.coe_ratCastproof · cited by 0
- DirectLimit.lift_ratCastproof · cited by 0
- NumberField.discr_eq_discr_of_ringEquivproof · cited by 0
- NumberField.InfinitePlace.map_ratCastproof · cited by 0