Theorems · Theorem · group theory
mulLeftEmbedding_apply
∀ {G : Type u_1} [inst : Mul G] [inst_1 : IsLeftCancelMul G] (g h : G), (mulLeftEmbedding g) h = g * h- Defined in
- Mathlib.Algebra.Group.Embedding
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- MulIsLeftCancelMul
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.
- DFunLike.coestatement and proof · cited by 62,936
- Function.Embeddingstatement · cited by 988
- IsLeftCancelMulstatement and proof · cited by 51
- mulLeftEmbeddingstatement and proof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- MonoidAlgebra.support_coeff_single_mulproof · cited by 1
- FiniteField.sum_subgroup_units_eq_zeroproof · cited by 1
- SkewMonoidAlgebra.support_single_mulproof · cited by 0