Theorems · Theorem · field theory
NNRat.cast_injective
∀ {α : Type u_3} [inst : DivisionSemiring α] [CharZero α], Function.Injective NNRat.cast- Defined in
- Mathlib.Data.Rat.Cast.CharZero
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionSemiringCharZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_zeroproof · cited by 1,870
- CharZerostatement and proof · cited by 932
- NNRatstatement and proof · cited by 523
- NNRat.caststatement and proof · cited by 235
- DivisionSemiringstatement and proof · cited by 216
- NNRat.numproof · cited by 53
- NNRat.denproof · cited by 51
- Nat.cast_commuteproof · cited by 24
- div_eq_div_iffproof · cited by 22
- NNRat.cast_defproof · cited by 17
- NNRat.num_div_denproof · cited by 3
- Commute.div_eq_div_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- NNRat.cast_injproof · cited by 5