Theorems · Theorem · order theory
EReal.preimage_coe_Ioc_bot
∀ (y : ℝ), Real.toEReal ⁻¹' Set.Ioc ⊥ ↑y = Set.Iic y
- 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
- Set.preimagestatement and proof · cited by 4,946
- Bot.botstatement · cited by 4,720
- Set.Iicstatement and proof · cited by 1,111
- Set.Iocstatement · cited by 971
- ERealstatement and proof · cited by 793
- Real.toERealstatement and proof · cited by 303
- Set.univ_interproof · cited by 258
- Set.Ioi_inter_Iicproof · cited by 13
- EReal.preimage_coe_Ioi_botproof · cited by 3
- EReal.preimage_coe_Iicproof · cited by 3
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