Theorems · Theorem · ring theory
Unitization.inr_injective
∀ {R : Type u_1} {A : Type u_2} [inst : Zero R], Function.Injective Unitization.inr- Defined in
- Mathlib.Algebra.Algebra.Unitization
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitizationstatement · cited by 220
- Unitization.inrstatement · cited by 109
- Unitization.snd_inrproof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- Unitization.isSelfAdjoint_inrproof · cited by 5
- Unitization.isStarNormal_inrproof · cited by 3
- SemiconjBy.star_rightproof · cited by 2
- Unitization.isQuasiregular_inr_iffproof · cited by 2
- RCLike.nonUnitalContinuousFunctionalCalculusproof · cited by 2
- Unitization.inrHom_injectiveproof · cited by 1
- Unitization.isIdempotentElem_inr_iffproof · cited by 1
- Unitization.inr_injproof · cited by 0