Theorems · Theorem · order theory
Set.Icc_bot
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : OrderBot α] {a : α}, Set.Icc ⊥ a = Set.Iic a- Defined in
- Mathlib.Order.Interval.Set.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Preorderstatement and proof · cited by 7,952
- Bot.botstatement and proof · cited by 4,720
- Set.Iccstatement · cited by 1,702
- Set.Iicstatement and proof · cited by 1,111
- OrderBotstatement and proof · cited by 1,055
- Set.inter_univproof · cited by 198
- Set.Ici_botproof · cited by 10
Cited by7
Results whose statement or proof uses this declaration.
- StieltjesFunction.measure_Iicproof · cited by 8
- ENNReal.hasBasis_nhds_of_ne_top'proof · cited by 2
- unitInterval.subtype_Iic_eq_Iccproof · cited by 1
- Nat.image_cast_int_Iicproof · cited by 0
- MeasureTheory.hittingAfter_bot_le_iffproof · cited by 0
- MeasureTheory.hittingBtwn_bot_le_iffproof · cited by 0
- MeasureTheory.hittingBtwn_eq_sInfproof · cited by 0