Theorems · Theorem · order theory
OrderEmbedding.birkhoffSet_inf
∀ {α : Type u_1} [inst : DistribLattice α] [inst_1 : Fintype α] [inst_2 : DecidablePred SupIrred] (a b : α),
OrderEmbedding.birkhoffSet (a ⊓ b) = OrderEmbedding.birkhoffSet a ∩ OrderEmbedding.birkhoffSet b- Defined in
- Mathlib.Order.Birkhoff
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- SetLike.coeproof · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- IsEmptyproof · cited by 759
- OrderEmbeddingstatement · cited by 619
- inf_of_le_leftproof · cited by 186
- DistribLatticestatement and proof · cited by 150
- isEmptyElimproof · cited by 59
- SupIrredstatement and proof · cited by 34
- InfHomClass.map_infproof · cited by 20
- OrderEmbedding.birkhoffSetstatement · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- OrderEmbedding.birkhoffFinset_infproof · cited by 0
- LatticeHom.birkhoffSetproof · cited by 0