Theorems · Definition · order theory
BoundedLatticeHom.dual
{α : Type u_2} →
{β : Type u_3} →
[inst : Lattice α] →
[inst_1 : BoundedOrder α] →
[inst_2 : Lattice β] → [inst_3 : BoundedOrder β] → BoundedLatticeHom α β ≃ BoundedLatticeHom αᵒᵈ βᵒᵈReinterpret a bounded lattice homomorphism as a bounded lattice homomorphism between the dual bounded lattices.
- Defined in
- Mathlib.Order.Hom.BoundedLattice
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equivstatement · cited by 8,337
- Equiv.symmproof · cited by 3,681
- OrderDualstatement and proof · cited by 927
- Latticestatement and proof · cited by 916
- BoundedOrderstatement and proof · cited by 270
- BoundedLatticeHomstatement and proof · cited by 185
- LatticeHom.dualproof · cited by 8
- BoundedLatticeHom.toLatticeHomproof · cited by 4
- BoundedLatticeHom.map_bot'proof · cited by 0
- BoundedLatticeHom.map_top'proof · cited by 0
Cited by16
Results whose statement or proof uses this declaration.
- BddLat.dualproof · cited by 8
- BddDistLat.dualproof · cited by 6
- FinBddDistLat.dualproof · cited by 5
- FinBoolAlg.dualproof · cited by 4
- BoolAlg.dualproof · cited by 4
- BoundedLatticeHom.dual_symm_apply_toFunstatement and proof · cited by 0
- FinBddDistLat.dual_mapstatement · cited by 0
- BddDistLat.dual_mapstatement · cited by 0
- FinBoolAlg.dual_mapstatement · cited by 0
- BoundedLatticeHom.symm_dual_compstatement · cited by 0
- BoundedLatticeHom.symm_dual_idstatement · cited by 0
- BddLat.dual_mapstatement · cited by 0