Theorems · Theorem · ring theory
Unitary.val_inv_toUnits_apply
∀ {R : Type u_1} [inst : Monoid R] [inst_1 : StarMul R] (x : ↥(unitary R)), ↑(Unitary.toUnits x)⁻¹ = ↑x⁻¹- Defined in
- Mathlib.Algebra.Star.Unitary
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
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.
- DFunLike.coestatement and proof · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- Submonoidstatement · cited by 3,086
- Unitsstatement · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- unitarystatement and proof · cited by 207
- StarMulstatement and proof · cited by 195
- Unitary.toUnitsstatement and proof · cited by 18
Cited by4
Results whose statement or proof uses this declaration.
- Unitary.spectrum_subset_circleproof · cited by 2
- Unitary.conjStarAlgAut_ext_iff'proof · cited by 0
- commute_unitary_iff_star_left_conjugateproof · cited by 0
- commute_unitary_iff_star_right_conjugateproof · cited by 0