Theorems · Theorem · order theory
Fin.finsetImage_castLE_Ioo
∀ {n m : ℕ} (a b : Fin n) (h : n ≤ m),
Finset.image (Fin.castLE h) (Finset.Ioo a b) = Finset.Ioo (Fin.castLE h a) (Fin.castLE h b)- Defined in
- Mathlib.Order.Interval.Finset.Fin
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 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.
- Finsetstatement · cited by 13,712
- Set.imageproof · cited by 5,609
- Set.Iooproof · cited by 1,214
- Finset.imagestatement · cited by 910
- Finset.coe_imageproof · cited by 222
- Finset.Ioostatement · cited by 185
- Finset.coe_Iooproof · cited by 48
- Fin.image_castLE_Iooproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Fin.finsetImage_castAdd_Iooproof · cited by 1