Theorems · Theorem · ring theory
NonUnitalStarAlgHom.ext
∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} [inst : Monoid R] [inst_1 : NonUnitalNonAssocSemiring A]
[inst_2 : DistribMulAction R A] [inst_3 : Star A] [inst_4 : NonUnitalNonAssocSemiring B]
[inst_5 : DistribMulAction R B] [inst_6 : Star B] {f g : A →⋆ₙₐ[R] B}, (∀ (x : A), f x = g x) → f = g- Defined in
- Mathlib.Algebra.Star.StarAlgHom
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- DistribMulActionstatement and proof · cited by 584
- Starstatement and proof · cited by 496
- DFunLike.extproof · cited by 240
- NonUnitalStarAlgHomstatement and proof · cited by 208
Cited by13
Results whose statement or proof uses this declaration.
- NonUnitalStarAlgHom.restrictScalars_injectiveproof · cited by 0
- NonUnitalStarAlgHom.comp_idproof · cited by 0
- NonUnitalStarAlgHom.snd_prodproof · cited by 0
- NonUnitalStarAlgHom.subtype_comp_codRestrictproof · cited by 0
- NonUnitalStarAlgHom.mk_coeproof · cited by 0
- NonUnitalStarAlgHom.ext_iffproof · cited by 0
- NonUnitalStarAlgHom.fst_prodproof · cited by 0
- NonUnitalStarAlgHom.id_compproof · cited by 0
- Unitization.starMap_compproof · cited by 0
- StarAlgEquiv.arrowCongr'_compproof · cited by 0
- NonUnitalStarAlgHom.realContinuousMapZeroOfNNReal_injectiveproof · cited by 0
- NonUnitalStarSubalgebra.iSupLift_comp_inclusionproof · cited by 0