Theorems · Theorem · order theory
exists_birkhoff_representation
∀ (α : Type u) [Finite α] [inst : DistribLattice α], ∃ β x x_1 f, Function.Injective ⇑f
- Defined in
- Mathlib.Order.Birkhoff
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FiniteDistribLattice
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.coestatement · cited by 62,936
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Finitestatement and proof · cited by 3,029
- nonempty_fintypeproof · cited by 261
- LatticeHomstatement · cited by 192
- DistribLatticestatement and proof · cited by 150
- SupIrredproof · cited by 34
- LatticeHom.birkhoffFinsetproof · cited by 2
- LatticeHom.birkhoffFinset_injectiveproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- four_functions_theoremproof · cited by 3