Theorems · Theorem · order theory
Fin.preimage_addNat_uIoo_addNat
∀ {n : ℕ} (m : ℕ) (i j : Fin n), (fun x => x.addNat m) ⁻¹' Set.uIoo (i.addNat m) (j.addNat m) = Set.uIoo i j- Defined in
- Mathlib.Order.Interval.Set.Fin
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
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.preimagestatement and proof · cited by 4,946
- Set.Iooproof · cited by 1,214
- StrictMono.monotoneproof · cited by 118
- Set.uIoostatement · cited by 68
- Monotone.map_maxproof · cited by 55
- Monotone.map_minproof · cited by 43
- Fin.strictMono_addNatproof · cited by 10
- Fin.preimage_addNat_Ioo_addNatproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Fin.preimage_succ_uIoo_succproof · cited by 0