Theorems · Theorem · ring theory
AddMonoidAlgebra.isGroupLikeElem_single_one
∀ {R : Type u_1} {A : Type u_3} {G : Type u_5} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Bialgebra R A]
(g : G), IsGroupLikeElem R (AddMonoidAlgebra.single g 1)- Cited by
- 5 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- CommSemiringstatement and proof · cited by 10,911
- TensorProduct.tmulproof · cited by 1,182
- AddMonoidAlgebrastatement · cited by 649
- AddMonoidAlgebra.singlestatement and proof · cited by 250
- TensorProduct.mapproof · cited by 250
- Bialgebrastatement and proof · cited by 160
- IsGroupLikeElemstatement · cited by 39
- AddMonoidAlgebra.lsingleproof · cited by 14
- Bialgebra.counit_oneproof · cited by 6
- Bialgebra.comul_oneproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.isGroupLikeElem_iff_mem_range_single_oneproof · cited by 1
- AddMonoidAlgebra.convMul_bialgHom_single_oneproof · cited by 1
- AddMonoidAlgebra.isGroupLikeElem_ofproof · cited by 0
- AddMonoidAlgebra.convMul_algHom_single_oneproof · cited by 0
- AddMonoidAlgebra.span_isGroupLikeElemproof · cited by 0