Theorems · Theorem · group theory
addRightEmbedding.congr_simp
∀ {G : Type u_1} [inst : Add G] [inst_1 : IsRightCancelAdd G] (g g_1 : G),
g = g_1 → addRightEmbedding g = addRightEmbedding g_1- Defined in
- Mathlib.Algebra.Group.Embedding
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- AddIsRightCancelAdd
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.
- Function.Embeddingstatement · cited by 988
- IsRightCancelAddstatement and proof · cited by 69
- addRightEmbeddingstatement and proof · cited by 31
Cited by2
Results whose statement or proof uses this declaration.
- Finset.pairwiseDisjoint_piAntidiag_map_addRightEmbeddingproof · cited by 3
- Finset.piAntidiag_consproof · cited by 2