Theorems · Theorem · field theory
map_nnratCast
∀ {F : Type u_1} {α : Type u_3} {β : Type u_4} [inst : FunLike F α β] [inst_1 : DivisionSemiring α]
[inst_2 : DivisionSemiring β] [RingHomClass F α β] (f : F) (q : ℚ≥0), f ↑q = ↑q- Defined in
- Mathlib.Data.Rat.Cast.Defs
- Cited by
- 5 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.
Cites11
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
- NNRatstatement and proof · cited by 523
- NNRat.caststatement · cited by 235
- DivisionSemiringstatement and proof · cited by 216
- RingHomClassstatement and proof · cited by 193
- map_natCastproof · cited by 134
- map_div₀proof · cited by 98
- NNRat.numproof · cited by 53
- NNRat.denproof · cited by 51
- NNRat.cast_defproof · cited by 17
Cited by5
Results whose statement or proof uses this declaration.
- RCLike.ofReal_nnratCastproof · cited by 4
- eq_nnratCastproof · cited by 3
- star_nnratCastproof · cited by 1
- DirectLimit.nnratCast_defproof · cited by 1
- DirectLimit.lift_nnratCastproof · cited by 0