Theorems · Theorem · order theory
Fin.image_natAdd_uIcc
∀ {n : ℕ} (m : ℕ) (i j : Fin n), Fin.natAdd m '' Set.uIcc i j = Set.uIcc (Fin.natAdd m i) (Fin.natAdd m j)- Defined in
- Mathlib.Order.Interval.Set.Fin
- Cited by
- 2 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_natAddproof · cited by 11
- Fin.image_natAdd_Iccproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Fin.map_natAddEmb_uIccproof · cited by 0
- Fin.finsetImage_natAdd_uIccproof · cited by 0