Theorems · Theorem · order theory
Fin.image_castLE_Iic
∀ {m n : ℕ} (i : Fin m) (h : m ≤ n), Fin.castLE h '' Set.Iic i = Set.Iic (Fin.castLE h i)- Defined in
- Mathlib.Order.Interval.Set.Fin
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 27 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.Iicstatement and proof · cited by 1,111
- Set.image_congrproof · cited by 533
- Set.image_imageproof · cited by 140
- Function.Injective.image_injectiveproof · cited by 33
- Fin.val_injectiveproof · cited by 23
- Fin.image_val_Iicproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Fin.map_castLEEmb_Iicproof · cited by 2
- Fin.image_castAdd_Iicproof · cited by 1
- Fin.finsetImage_castLE_Iicproof · cited by 1