Theorems · Theorem · group theory
addLeftEmbedding_eq_addRightEmbedding
∀ {G : Type u_1} [inst : AddCommMagma G] [inst_1 : IsCancelAdd G] (g : G), addLeftEmbedding g = addRightEmbedding g- Defined in
- Mathlib.Algebra.Group.Embedding
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses Quot.sound
- Assumes
- AddCommMagmaIsCancelAdd
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.
- add_commproof · cited by 1,535
- Function.Embeddingstatement · cited by 988
- IsCancelAddstatement and proof · cited by 79
- addLeftEmbeddingstatement · cited by 36
- AddCommMagmastatement and proof · cited by 32
- addRightEmbeddingstatement · cited by 31
- Function.Embedding.extproof · cited by 27
Cited by2
Results whose statement or proof uses this declaration.
- Finset.disjoint_range_addRightEmbeddingproof · cited by 0
- addRothNumber_map_add_rightproof · cited by 0