Theorems · Theorem · ring theory
Unitary.toRingEquiv_conjStarAlgAut
∀ {S : Type u_1} {R : Type u_2} [inst : Semiring R] [inst_1 : StarMul R] [inst_2 : SMul S R]
[inst_3 : IsScalarTower S R R] [inst_4 : SMulCommClass S R R] (u : ↥(unitary R)),
((Unitary.conjStarAlgAut S R) u).toRingEquiv =
(MulSemiringAction.toRingEquiv (ConjAct Rˣ) R) (ConjAct.toConjAct (Unitary.toUnits u))- Defined in
- Mathlib.Algebra.Star.UnitaryStarAlgAut
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- IsScalarTowerstatement and proof · cited by 3,896
- MonoidHomstatement · cited by 3,629
- Submonoidstatement · cited by 3,086
- Unitsstatement · cited by 2,804
- SMulCommClassstatement and proof · cited by 1,927
- RingEquivstatement · cited by 1,147
- MulEquivstatement · cited by 1,142
- unitarystatement and proof · cited by 207
- StarMulstatement and proof · cited by 195
- StarAlgEquivstatement · cited by 132
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