Theorems · Theorem · order theory
Finset.Ico_sdiff_Ioo_self
∀ {α : Type u_2} [inst : PartialOrder α] [inst_1 : LocallyFiniteOrder α] {a b : α} [inst_2 : DecidableEq α],
a < b → Finset.Ico a b \ Finset.Ioo a b = {a}- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 1 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- PartialOrderstatement and proof · cited by 6,410
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icostatement and proof · cited by 450
- Finset.Ioostatement and proof · cited by 185
- Finset.coe_singletonproof · cited by 145
- Finset.coe_Icoproof · cited by 66
- Finset.coe_Iooproof · cited by 48
- Finset.coe_sdiffproof · cited by 23
- Set.Ico_sdiff_Ioo_sameproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Finset.Ico_diff_Ioo_selfproof · cited by 0