Theorems · Theorem · category theory
LightCondensed.ihom_map_val_app
∀ (R : Type u) [inst : CommRing R] (A B P : LightCondMod R) (S : LightProfinite) (e : A ⟶ B)
(x : ↑((P ⟹ A).obj.obj (Opposite.op S))),
(CategoryTheory.ConcreteCategory.hom (((CategoryTheory.ihom P).map e).hom.app (Opposite.op S))) x =
(LightCondensed.ihomPoints R P B S).symm
(CategoryTheory.CategoryStruct.comp ((LightCondensed.ihomPoints R P A S) x) e)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites49
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CategoryTheory.Categoryproof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- RingHom.idstatement · cited by 18,349
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- LinearMapstatement · cited by 10,215
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Equivstatement and proof · cited by 8,337
- Oppositestatement · cited by 8,081
Cited by1
Results whose statement or proof uses this declaration.
- LightCondensed.internallyProjective_iff_tensor_conditionproof · cited by 2