Theorems · Theorem · order theory
Fin.preimage_natAdd_uIoc_natAdd
∀ {n : ℕ} (m : ℕ) (i j : Fin n), Fin.natAdd m ⁻¹' Set.uIoc (Fin.natAdd m i) (Fin.natAdd m j) = Set.uIoc i j- Defined in
- Mathlib.Order.Interval.Set.Fin
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
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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.Iocproof · cited by 971
- Set.uIocstatement · cited by 182
- StrictMono.monotoneproof · cited by 118
- Monotone.map_maxproof · cited by 55
- Monotone.map_minproof · cited by 43
- Fin.strictMono_natAddproof · cited by 11
- Fin.preimage_natAdd_Ioc_natAddproof · cited by 2
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