Theorems · Definition · category theory
latToBddLatForgetAdjunction
latToBddLat ⊣ CategoryTheory.forget₂ BddLat Lat
latToBddLat is left adjoint to the forgetful functor, meaning it is the free
functor from Lat to BddLat.
- Defined in
- Mathlib.Order.Category.BddLat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- CategoryTheory.Adjunctionstatement · cited by 524
- CategoryTheory.forget₂statement and proof · cited by 260
- LatticeHomstatement · cited by 192
- BoundedLatticeHomstatement · cited by 185
- Lat.carrierstatement · cited by 58
- Latstatement and proof · cited by 43
- BddLatstatement and proof · cited by 27
- BddLat.toLatstatement · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- latToBddLatCompDualIsoDualCompLatToBddLatproof · cited by 0