Theorems · Theorem · ring theory
MonoidAlgebra.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 (MonoidAlgebra.single g 1)- Cited by
- 3 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
- MonoidAlgebrastatement · cited by 590
- MonoidAlgebra.singlestatement and proof · cited by 253
- TensorProduct.mapproof · cited by 250
- Bialgebrastatement and proof · cited by 160
- IsGroupLikeElemstatement · cited by 39
- MonoidAlgebra.lsingleproof · cited by 25
- Bialgebra.counit_oneproof · cited by 6
- Bialgebra.comul_oneproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- MonoidAlgebra.isGroupLikeElem_iff_mem_range_single_oneproof · cited by 1
- MonoidAlgebra.isGroupLikeElem_ofproof · cited by 0
- MonoidAlgebra.span_isGroupLikeElemproof · cited by 0