Theorems · Theorem · order theory
BoundedLatticeHom.dual_comp
∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : Lattice α] [inst_1 : BoundedOrder α] [inst_2 : Lattice β]
[inst_3 : BoundedOrder β] [inst_4 : Lattice γ] [inst_5 : BoundedOrder γ] (g : BoundedLatticeHom β γ)
(f : BoundedLatticeHom α β),
BoundedLatticeHom.dual (g.comp f) = (BoundedLatticeHom.dual g).comp (BoundedLatticeHom.dual f)- Defined in
- Mathlib.Order.Hom.BoundedLattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- OrderDualstatement · cited by 927
- Latticestatement and proof · cited by 916
- BoundedOrderstatement and proof · cited by 270
- BoundedLatticeHomstatement and proof · cited by 185
- BoundedLatticeHom.compstatement · cited by 28
- BoundedLatticeHom.dualstatement · cited by 11
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.