Theorems · Theorem · order theory
Fin.image_addNat_Ioi
∀ {n : ℕ} (m : ℕ) (i : Fin n), (fun x => x.addNat m) '' Set.Ioi i = Set.Ioi (i.addNat m)- Defined in
- Mathlib.Order.Interval.Set.Fin
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 57 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.Ioistatement and proof · cited by 1,463
- Set.Iciproof · cited by 1,070
- Set.image_subset_rangeproof · cited by 76
- Set.image_preimage_eq_of_subsetproof · cited by 41
- Set.Ioi_subset_Ici_selfproof · cited by 34
- Fin.image_addNat_Iciproof · cited by 6
- Fin.preimage_addNat_Ioi_addNatproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Fin.image_addNat_Iocproof · cited by 4
- Fin.image_addNat_Iooproof · cited by 4
- Fin.finsetImage_addNat_Ioiproof · cited by 1
- Fin.map_addNatEmb_Ioiproof · cited by 1
- Fin.image_succ_Ioiproof · cited by 0