Theorems · Theorem · field theory
NNRat.cast_commute
∀ {α : Type u_3} [inst : DivisionSemiring α] (q : ℚ≥0) (a : α), Commute (↑q) a- Defined in
- Mathlib.Data.Rat.Cast.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Commutestatement and proof · cited by 639
- NNRatstatement and proof · cited by 523
- NNRat.caststatement · 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
- NNRat.cast_defproof · cited by 17
- Commute.div_leftproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- NNRat.commute_castproof · cited by 0
- NNRat.cast_commproof · cited by 0