Theorems · Theorem · ring theory
Coalgebra.Quotient.mkQCoalgHom_apply
∀ {R : Type u_1} {C : Type u_2} [inst : CommRing R] [inst_1 : AddCommGroup C] [inst_2 : Module R C]
[inst_3 : CoalgebraStruct R C] (I : Submodule R C) [inst_4 : I.IsCoideal] (x : C),
(Coalgebra.Quotient.mkQCoalgHom I) x = Submodule.Quotient.mk x- Defined in
- Mathlib.RingTheory.Coalgebra.Quotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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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
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Submodulestatement and proof · cited by 7,192
- HasQuotient.Quotientstatement · cited by 2,301
- CoalgebraStructstatement and proof · cited by 230
- Submodule.Quotient.mkstatement · cited by 184
- CoalgHomstatement · cited by 105
- Submodule.IsCoidealstatement and proof · cited by 17
- Coalgebra.Quotient.mkQCoalgHomstatement · cited by 1
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