Theorems · Theorem · order theory
EReal.preimage_coe_Iic
∀ (y : ℝ), Real.toEReal ⁻¹' Set.Iic ↑y = Set.Iic y
- Defined in
- Mathlib.Data.EReal.Basic
- Cited by
- 3 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.preimagestatement and proof · cited by 4,946
- WithTop.someproof · cited by 1,128
- Set.Iicstatement and proof · cited by 1,111
- ERealstatement · cited by 793
- Real.toERealstatement · cited by 303
- Set.preimage_compproof · cited by 57
- WithBot.preimage_coe_Iicproof · cited by 5
- WithTop.preimage_coe_Iicproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- EReal.preimage_coe_Ioc_botproof · cited by 0
- EReal.preimage_coe_Iocproof · cited by 0
- EReal.preimage_coe_Iccproof · cited by 0