Theorems · Theorem · ring theory
star_ratCast
∀ {R : Type u_1} [inst : DivisionRing R] [inst_1 : StarRing R] (r : ℚ), star ↑r = ↑r- Defined in
- Mathlib.Algebra.Star.Rat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRingStarRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- StarRingstatement and proof · cited by 1,686
- Star.starstatement · cited by 1,082
- DivisionRingstatement and proof · cited by 1,062
- MulOpposite.unopproof · cited by 268
- map_ratCastproof · cited by 10
- starRingEquivproof · cited by 5
- MulOpposite.unop_ratCastproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsSelfAdjoint.ratCastproof · cited by 0