Theorems · Theorem · order theory
OrderIso.supIrredLowerSet_symm_apply
∀ {α : Type u_1} [inst : SemilatticeSup α] [inst_1 : OrderBot α] [inst_2 : Finite α] (s : { s // SupIrred s })
[inst_3 : Fintype ↥↑s], OrderIso.supIrredLowerSet.symm s = (↑↑s).toFinset.sup id- Defined in
- Mathlib.Order.Birkhoff
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
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- DFunLike.coestatement and proof · cited by 62,936
- SetLike.coestatement · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Finitestatement and proof · cited by 3,029
- OrderBotstatement and proof · cited by 1,055
- OrderIsostatement · cited by 874
- SemilatticeSupstatement and proof · cited by 785
- LocallyFiniteOrderproof · cited by 658
- Finset.supstatement and proof · cited by 530
- OrderIso.symmstatement and proof · cited by 475
- nonempty_fintypeproof · cited by 261
- LowerSetstatement and proof · cited by 230
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