Theorems · Theorem · ring theory
Finsupp.counit_single
∀ (R : Type u) (ι : Type v) (A : Type w) [inst : CommSemiring R] [inst_1 : AddCommMonoid A] [inst_2 : Module R A] [inst_3 : CoalgebraStruct R A] (i : ι) (a : A), (CoalgebraStruct.counit fun₀ | i => a) = CoalgebraStruct.counit a
- Defined in
- Mathlib.RingTheory.Coalgebra.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Finsuppstatement · cited by 5,255
- Finsupp.singlestatement · cited by 943
- CoalgebraStructstatement and proof · cited by 230
- CoalgebraStruct.counitstatement and proof · cited by 108
- Finsupp.lsum_singleproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.counit_singleproof · cited by 5
- MonoidAlgebra.counit_singleproof · cited by 3
- Pi.counit_comp_finsuppLcoeFunproof · cited by 1
- Finsupp.counit_comp_lsingleproof · cited by 0