Theorems · Theorem · ring theory
Unitization.lift_symm_apply_apply
∀ {R : Type u_2} {A : Type u_3} [inst : CommSemiring R] [inst_1 : NonUnitalSemiring A] [inst_2 : Module R A]
[inst_3 : SMulCommClass R A A] [inst_4 : IsScalarTower R A A] {C : Type u_5} [inst_5 : Semiring C]
[inst_6 : Algebra R C] (φ : Unitization R A →ₐ[R] C) (a : A), (Unitization.lift.symm φ) a = φ ↑a- Defined in
- Mathlib.Algebra.Algebra.Unitization
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Quot.sound
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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 · cited by 62,936
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement · cited by 8,337
- IsScalarTowerstatement and proof · cited by 3,896
- Equiv.symmstatement · cited by 3,681
- AlgHomstatement and proof · cited by 3,236
- SMulCommClassstatement and proof · cited by 1,927
- NonUnitalSemiringstatement and proof · cited by 339
- MonoidHom.idstatement · cited by 323
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