Theorems · Theorem · order theory
EReal.image_coe_Iio
∀ (x : ℝ), Real.toEReal '' Set.Iio x = Set.Ioo ⊥ ↑x
- Defined in
- Mathlib.Data.EReal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Set.imagestatement and proof · cited by 5,609
- Bot.botstatement and proof · cited by 4,720
- WithTopproof · cited by 3,754
- WithBotproof · cited by 1,498
- Set.Ioostatement and proof · cited by 1,214
- Set.Iiostatement and proof · cited by 1,166
- WithTop.someproof · cited by 1,128
- ERealstatement · cited by 793
- WithBot.someproof · cited by 541
- Real.toERealstatement and proof · cited by 303
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