Theorems · Theorem · ring theory
LinearMap.id_mul_antipode
∀ {R : Type u_1} {C : Type u_3} [inst : CommSemiring R] [inst_1 : Semiring C] [inst_2 : HopfAlgebra R C],
WithConv.toConv LinearMap.id * WithConv.toConv (HopfAlgebraStruct.antipode R) = 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Algebra.algebraMapproof · cited by 4,706
- Finset.sum_congrproof · cited by 2,323
- LinearMap.extproof · cited by 844
- LinearMap.idstatement and proof · cited by 625
- WithConvstatement · cited by 138
- CoalgebraStruct.counitproof · cited by 108
- WithConv.ofConvproof · cited by 97
Cited by1
Results whose statement or proof uses this declaration.
- LinearMap.comul_right_invproof · cited by 0