Theorems · Definition · order theory
LatticeHom.withBot
{α : Type u_1} →
{β : Type u_2} → [inst : Lattice α] → [inst_1 : Lattice β] → LatticeHom α β → LatticeHom (WithBot α) (WithBot β)Adjoins a ⊥ to the domain and codomain of a LatticeHom.
- Defined in
- Mathlib.Order.Hom.WithTopBot
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- WithBotstatement and proof · cited by 1,498
- Latticestatement and proof · cited by 916
- LatticeHomstatement and proof · cited by 192
- InfHomproof · cited by 69
- SupHomproof · cited by 68
- LatticeHom.toSupHomproof · cited by 31
- InfHom.withBotproof · cited by 3
- SupHom.withBotproof · cited by 3
- LatticeHom.toInfHomproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- LatticeHom.withBotWithTopproof · cited by 4
- LatticeHom.withTopWithBotproof · cited by 4
- LatticeHom.withBot_applystatement · cited by 0
- LatticeHom.withBot_compstatement and proof · cited by 0
- LatticeHom.withBot_idstatement and proof · cited by 0
- LatticeHom.coe_withBotstatement · cited by 0