Theorems · Definition · order theory
CompleteLatticeHom.dual
{α : Type u_2} →
{β : Type u_3} →
[inst : CompleteLattice α] → [inst_1 : CompleteLattice β] → CompleteLatticeHom α β ≃ CompleteLatticeHom αᵒᵈ βᵒᵈReinterpret a complete lattice homomorphism as a complete lattice homomorphism between the dual lattices.
- Defined in
- Mathlib.Order.Hom.CompleteLattice
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- CompleteLatticestatement and proof · cited by 1,048
- OrderDualstatement and proof · cited by 927
- CompleteLatticeHomstatement and proof · cited by 50
- sSupHom.dualproof · cited by 7
- CompleteLatticeHom.tosSupHomproof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- CompleteLat.dualproof · cited by 4
- CompleteLatticeHom.symm_dual_compstatement · cited by 0
- CompleteLat.dual_mapstatement · cited by 0
- CompleteLatticeHom.symm_dual_idstatement · cited by 0
- CompleteLatticeHom.dual_apply_toFunstatement and proof · cited by 0
- CompleteLatticeHom.dual_compstatement · cited by 0
- CompleteLatticeHom.dual_idstatement · cited by 0
- CompleteLatticeHom.dual_symm_apply_toFunstatement and proof · cited by 0
- CompleteLatticeHom.apply_liminf_iterateproof · cited by 0