Theorems · Theorem · order theory
Finset.coe_Iic
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : LocallyFiniteOrderBot α] (a : α), ↑(Finset.Iic a) = Set.Iic a- Defined in
- Mathlib.Order.Interval.Finset.Defs
- Cited by
- 36 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Finsetstatement · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Preorderstatement and proof · cited by 7,952
- Set.extproof · cited by 2,266
- Set.Iicstatement · cited by 1,111
- LocallyFiniteOrderBotstatement and proof · cited by 286
- Finset.Iicstatement · cited by 280
- Finset.mem_Iicproof · cited by 42
Cited by36
Results whose statement or proof uses this declaration.
- Finset.Ioc_subset_Iic_selfproof · cited by 12
- Finset.Iic_subset_Iicproof · cited by 10
- MeasureTheory.integrable_stoppedValueproof · cited by 3
- Fin.map_castLEEmb_Iicproof · cited by 2
- partialSups_botproof · cited by 2
- DependsOn.lmarginalPartialTraj_of_leproof · cited by 2
- Fin.map_finCongr_Iicproof · cited by 1
- Fin.finsetImage_castLE_Iicproof · cited by 1
- Finset.Iic_pred_eq_Iioproof · cited by 1
- Finset.Iic_pred_eq_Iio_of_not_isMinproof · cited by 1
- Finset.Icc_subset_Iic_selfproof · cited by 1
- Finset.Iio_subset_Iic_selfproof · cited by 1