Theorems · Theorem · order theory
Fin.image_addNat_uIcc
∀ {n : ℕ} (m : ℕ) (i j : Fin n), (fun x => x.addNat m) '' Set.uIcc i j = Set.uIcc (i.addNat m) (j.addNat m)- 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.imagestatement · cited by 5,609
- Set.Iccproof · cited by 1,702
- Set.uIccstatement · cited by 393
- StrictMono.monotoneproof · cited by 118
- Monotone.map_maxproof · cited by 55
- Monotone.map_minproof · cited by 43
- Fin.strictMono_addNatproof · cited by 10
- Fin.image_addNat_Iccproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Fin.finsetImage_addNat_uIccproof · cited by 1
- Fin.map_addNatEmb_uIccproof · cited by 1
- Fin.image_succ_uIccproof · cited by 0