Theorems · Theorem · order theory
OrderEmbedding.birkhoffFinset_inf
∀ {α : Type u_1} [inst : DistribLattice α] [inst_1 : Fintype α] [inst_2 : DecidablePred SupIrred]
[inst_3 : DecidableEq α] (a b : α),
OrderEmbedding.birkhoffFinset (a ⊓ b) = OrderEmbedding.birkhoffFinset a ∩ OrderEmbedding.birkhoffFinset b- Defined in
- Mathlib.Order.Birkhoff
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Equiv.symmproof · cited by 3,681
- OrderEmbeddingstatement · cited by 619
- Set.toFinsetproof · cited by 217
- DistribLatticestatement and proof · cited by 150
- SupIrredstatement and proof · cited by 34
- Fintype.finsetEquivSetproof · cited by 7
- OrderEmbedding.birkhoffSetproof · cited by 6
- Set.toFinset_interproof · cited by 5
- OrderEmbedding.birkhoffFinsetstatement · cited by 4
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