Theorems · Theorem · order theory
Fin.image_castLE_uIcc
∀ {m n : ℕ} (i j : Fin m) (h : m ≤ n), Fin.castLE h '' Set.uIcc i j = Set.uIcc (Fin.castLE h i) (Fin.castLE h j)- Defined in
- Mathlib.Order.Interval.Set.Fin
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 and proof · cited by 5,609
- Set.image_congrproof · cited by 533
- Set.uIccstatement and proof · cited by 393
- Set.image_imageproof · cited by 140
- Function.Injective.image_injectiveproof · cited by 33
- Fin.val_injectiveproof · cited by 23
- Fin.image_val_uIccproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Fin.map_castLEEmb_uIccproof · cited by 2
- Fin.image_castAdd_uIccproof · cited by 1
- Fin.finsetImage_castLE_uIccproof · cited by 1