Theorems · Theorem · ring theory
Unitization.fstHom_apply
∀ (R : Type u_2) (A : Type u_3) [inst : CommSemiring R] [inst_1 : NonUnitalSemiring A] [inst_2 : Module R A] [inst_3 : IsScalarTower R A A] [inst_4 : SMulCommClass R A A] (a : Unitization R A), (Unitization.fstHom R A) a = a.toProd.1
- Defined in
- Mathlib.Algebra.Algebra.Unitization
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- AlgHomstatement · cited by 3,236
- SMulCommClassstatement and proof · cited by 1,927
- NonUnitalSemiringstatement and proof · cited by 339
- Unitizationstatement and proof · cited by 220
- Unitization.toProdstatement · cited by 76
- Unitization.fstHomstatement and proof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Unitization.isQuasiregular_inr_iffproof · cited by 2
- Unitization.mem_spectrum_inr_of_not_isUnitproof · cited by 1