Theorems · Theorem · group theory
IsUnit.mul_right_injective
∀ {M : Type u_1} [inst : Monoid M] {a : M}, IsUnit a → Function.Injective fun x => a * x- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
- Assumes
- Monoid
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.
- Monoidstatement and proof · cited by 3,887
- IsUnitstatement and proof · cited by 1,602
- IsUnit.mul_left_cancelproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- IsUnit.isUnit_iff_mulLeft_bijectiveproof · cited by 4
- MulChar.inv_applyproof · cited by 2
- RingHom.surjectiveOnStalks_iff_of_isLocalHomproof · cited by 0