Theorems · Theorem · order theory
Fin.image_natAdd_Ioc
∀ {n : ℕ} (m : ℕ) (i j : Fin n), Fin.natAdd m '' Set.Ioc i j = Set.Ioc (Fin.natAdd m i) (Fin.natAdd m j)- Defined in
- Mathlib.Order.Interval.Set.Fin
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 58 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.
- Setstatement and proof · cited by 53,352
- Set.imagestatement and proof · cited by 5,609
- LE.le.transproof · cited by 3,151
- Set.Ioiproof · cited by 1,463
- Set.Iocstatement and proof · cited by 971
- Set.image_subset_rangeproof · cited by 76
- Set.image_preimage_eq_of_subsetproof · cited by 41
- Set.Ioc_subset_Ioi_selfproof · cited by 24
- Fin.image_natAdd_Ioiproof · cited by 4
- Fin.preimage_natAdd_Ioc_natAddproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Fin.image_natAdd_uIocproof · cited by 0
- Fin.finsetImage_natAdd_Iocproof · cited by 0
- Fin.map_natAddEmb_Iocproof · cited by 0