Theorems · Theorem · order theory
Finset.Ioc_subset_Iic_self
∀ {α : Type u_2} {a b : α} [inst : Preorder α] [inst_1 : LocallyFiniteOrderBot α] [inst_2 : LocallyFiniteOrder α],
Finset.Ioc a b ⊆ Finset.Iic b- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 59 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.
- Finsetstatement · cited by 13,712
- Preorderstatement and proof · cited by 7,952
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Iocstatement · cited by 301
- LocallyFiniteOrderBotstatement and proof · cited by 286
- Finset.Iicstatement · cited by 280
- Finset.coe_Iocproof · cited by 55
- Finset.coe_Iicproof · cited by 36
- Set.Ioc_subset_Iic_selfproof · cited by 6
Cited by12
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.partialTraj_eq_prodstatement and proof · cited by 3
- DependsOn.dependsOn_lmarginalPartialTrajproof · cited by 2
- DependsOn.lmarginalPartialTraj_of_leproof · cited by 2
- ProbabilityTheory.Kernel.lmarginalPartialTraj_eq_lintegral_mapstatement and proof · cited by 2
- IicProdIoc_comp_restrict₂statement · cited by 1
- MeasureTheory.partialTraj_const_restrict₂statement and proof · cited by 1
- IicProdIoc_preimagestatement and proof · cited by 1
- MeasureTheory.Measure.pi_prod_map_IicProdIocproof · cited by 1
- restrict₂_comp_IicProdIocstatement · cited by 1
- ProbabilityTheory.Kernel.traj_eq_prodproof · cited by 1
- MeasurableEquiv.coe_IicProdIoc_symmstatement · cited by 0
- Finset.Ioo_subset_Iic_selfproof · cited by 0