Theorems · Theorem · order theory
Fin.map_castLEEmb_Ioo
∀ {n m : ℕ} (a b : Fin n) (h : n ≤ m),
Finset.map (Fin.castLEEmb h) (Finset.Ioo a b) = Finset.Ioo (Fin.castLE h a) (Fin.castLE h b)- Defined in
- Mathlib.Order.Interval.Finset.Fin
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Set.imageproof · cited by 5,609
- Set.Iooproof · cited by 1,214
- Finset.mapstatement · cited by 747
- Set.image_congrproof · cited by 533
- Finset.Ioostatement and proof · cited by 185
- Finset.coe_mapproof · cited by 114
- Finset.coe_Iooproof · cited by 48
- Fin.castLEEmbstatement and proof · cited by 34
- Fin.castLEEmb_applyproof · cited by 22
- Fin.image_castLE_Iooproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Fin.map_castAddEmb_Iooproof · cited by 2
- Fin.sum_Ioo_castLEproof · cited by 0