Theorems · Theorem · order theory
bot_lt_of_lt
∀ {α : Type u} [inst : Preorder α] [inst_1 : OrderBot α] {a b : α}, b < a → ⊥ < a- Defined in
- Mathlib.Order.BoundedOrder.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Bot.botstatement · cited by 4,720
- OrderBotstatement and proof · cited by 1,055
- bot_leproof · cited by 306
- lt_of_lt_of_le'proof · cited by 15
Cited by3
Results whose statement or proof uses this declaration.
- LT.lt.bot_ltproof · cited by 6
- Ordinal.log_opow_mul_addproof · cited by 2
- Ordinal.log_opow_mulproof · cited by 1