Theorems · Theorem · order theory
Finset.Icc_sdiff_both
∀ {α : Type u_2} [inst : PartialOrder α] [inst_1 : LocallyFiniteOrder α] [inst_2 : DecidableEq α] (a b : α),
Finset.Icc a b \ {a, b} = Finset.Ioo a b- 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.
Cites12
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
- Set.Iooproof · cited by 1,214
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Iccstatement and proof · cited by 348
- Finset.Ioostatement · cited by 185
- Finset.coe_singletonproof · cited by 145
- Finset.coe_insertproof · cited by 124
- Finset.coe_Iccproof · cited by 60
- Finset.coe_Iooproof · cited by 48
- Finset.coe_sdiffproof · cited by 23
- Set.Icc_sdiff_bothproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Finset.Icc_diff_bothproof · cited by 0