Theorems · Theorem · order theory
Finset.Ioc_pred_right_eq_Ioo
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : LocallyFiniteOrder α] [inst_2 : PredOrder α] (a b : α),
Finset.Ioc a (Order.pred b) = Finset.Ioo a b- Defined in
- Mathlib.Order.Interval.Finset.SuccPred
- 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- LinearOrderstatement and proof · cited by 8,572
- LocallyFiniteOrderstatement and proof · cited by 658
- PredOrderstatement and proof · cited by 334
- Finset.Iocstatement and proof · cited by 301
- Order.predstatement and proof · cited by 273
- Finset.Ioostatement and proof · cited by 185
- Finset.coe_injectiveproof · cited by 127
- Finset.coe_Iocproof · cited by 55
- Finset.coe_Iooproof · cited by 48
- Set.Ioc_pred_right_eq_Iooproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Finset.Ioc_sub_one_right_eq_Iooproof · cited by 0