Theorems · Theorem · order theory
LT.lt.bot_lt
∀ {α : Type u} [inst : Preorder α] [inst_1 : OrderBot α] {a b : α}, b < a → ⊥ < aAlias of bot_lt_of_lt.
- Defined in
- Mathlib.Order.BoundedOrder.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement · cited by 7,952
- Bot.botstatement · cited by 4,720
- OrderBotstatement · cited by 1,055
- bot_lt_of_ltproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- ENNReal.ofReal_limsupproof · cited by 2
- egauge_pi'proof · cited by 2
- WithTop.mul_lt_mulproof · cited by 1
- MeasureTheory.levyProkhorovDist_le_of_forall_leproof · cited by 1
- NNReal.div_lt_one_of_ltproof · cited by 1
- Ordinal.opow_lt_opow_left_of_succproof · cited by 0