Theorems · Theorem · order theory
EReal.preimage_coe_Ico_top
∀ (x : ℝ), Real.toEReal ⁻¹' Set.Ico ↑x ⊤ = Set.Ici x
- Defined in
- Mathlib.Data.EReal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 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.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Top.topstatement · cited by 9,680
- Set.preimagestatement and proof · cited by 4,946
- Set.Icistatement and proof · cited by 1,070
- Set.Icostatement · cited by 799
- ERealstatement and proof · cited by 793
- Real.toERealstatement and proof · cited by 303
- Set.inter_univproof · cited by 198
- Set.Ici_inter_Iioproof · cited by 10
- EReal.preimage_coe_Iciproof · cited by 3
- EReal.preimage_coe_Iio_topproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.