Theorems · Theorem · ring theory
star_injective
∀ {R : Type u} [inst : InvolutiveStar R], Function.Injective star- Defined in
- Mathlib.Algebra.Star.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- InvolutiveStar
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Star.starstatement · cited by 1,082
- InvolutiveStarstatement and proof · cited by 52
- Function.Involutive.injectiveproof · cited by 26
- InvolutiveStar.star_involutiveproof · cited by 11
Cited by8
Results whose statement or proof uses this declaration.
- IsRightRegular.starproof · cited by 3
- IsLeftRegular.starproof · cited by 3
- Matrix.PosDef.mul_mul_conjTranspose_sameproof · cited by 2
- star_injproof · cited by 1
- Matrix.conjTranspose_injectiveproof · cited by 1
- NumberField.InfinitePlace.bijOn_sumElim_conjugateproof · cited by 1
- Set.Finite.starproof · cited by 0
- NumberField.InfinitePlace.conjugate_embedding_injectiveproof · cited by 0