Theorems · Theorem · ring theory
NonUnitalStarSubalgebra.unitizationStarAlgEquiv_apply_coe
∀ {R : Type u_1} {S : Type u_2} {A : Type u_3} [inst : Field R] [inst_1 : StarRing R] [inst_2 : Ring A]
[inst_3 : StarRing A] [inst_4 : Algebra R A] [inst_5 : StarModule R A] [inst_6 : SetLike S A]
[hSA : NonUnitalSubringClass S A] [hSRA : SMulMemClass S R A] [inst_7 : StarMemClass S A] (s : S) (h1 : 1 ∉ s)
(a : Unitization R ↥s),
↑((NonUnitalStarSubalgebra.unitizationStarAlgEquiv s h1) a) = (algebraMap R A) a.toProd.1 + ↑a.toProd.2- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
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- DFunLike.coestatement and proof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- SetLike.coestatement · cited by 8,199
- Ringstatement and proof · cited by 7,463
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapstatement · cited by 4,706
- StarRingstatement and proof · cited by 1,686
- SetLikestatement and proof · cited by 1,084
- StarModulestatement and proof · cited by 570
- Unitizationstatement and proof · cited by 220
- StarSubalgebrastatement · cited by 194
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