Theorems · Theorem · order theory
Fin.image_castAdd_Ioi
∀ {n : ℕ} (m : ℕ) [inst : NeZero m] (i : Fin n), Fin.castAdd m '' Set.Ioi i = Set.Ioo (Fin.castAdd m i) (Fin.natAdd n 0)- 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
- Assumes
- NeZero
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 and proof · cited by 5,609
- Set.Ioistatement and proof · cited by 1,463
- Set.Ioostatement and proof · cited by 1,214
- Set.image_congrproof · cited by 533
- Function.Injective.image_injectiveproof · cited by 33
- Fin.val_injectiveproof · cited by 23
- Fin.image_val_Iooproof · cited by 3
- Fin.image_val_Ioiproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Fin.finsetImage_castAdd_Ioiproof · cited by 1
- Fin.map_castAddEmb_Ioiproof · cited by 1
- Fin.image_castSucc_Ioiproof · cited by 0