Theorems · Theorem · ring theory
Unitization.inrRangeEquiv_apply_coe_snd
∀ (R : Type u_1) (A : Type u_2) [inst : CommSemiring R] [inst_1 : StarAddMonoid R] [inst_2 : NonUnitalSemiring A] [inst_3 : Star A] [inst_4 : Module R A] [inst_5 : IsScalarTower R A A] [inst_6 : SMulCommClass R A A] (a : A), (↑((Unitization.inrRangeEquiv R A) a)).toProd.2 = a
- Defined in
- Mathlib.Algebra.Algebra.Unitization
- 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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Cites16
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
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- IsScalarTowerstatement and proof · cited by 3,896
- SMulCommClassstatement and proof · cited by 1,927
- Starstatement and proof · cited by 496
- NonUnitalSemiringstatement and proof · cited by 339
- StarAddMonoidstatement and proof · cited by 296
- Unitizationstatement · cited by 220
- NonUnitalStarAlgHomstatement · cited by 208
- NonUnitalStarSubalgebrastatement · cited by 196
- StarAlgEquivstatement · cited by 132
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