Theorems · Theorem · group theory
IsAddUnit.isAddUnit_iff_addRight_bijective
∀ {M : Type u_1} [inst : AddMonoid M] {a : M}, IsAddUnit a ↔ Function.Bijective fun x => x + a- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice
- Assumes
- AddMonoid
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.
- AddMonoidstatement and proof · cited by 2,864
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- Function.Bijectivestatement and proof · cited by 863
- add_assocproof · cited by 746
- AddUnits.valproof · cited by 248
- IsAddUnitstatement and proof · cited by 215
- IsAddUnit.addUnitproof · cited by 30
- IsAddUnit.val_neg_addproof · cited by 3
- IsAddUnit.add_left_injectiveproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.