Mathlib Map

Theorems · Theorem · order theory

bot_eq_one

∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : One α] [IsBotOneClass α] [inst_3 : OrderBot α], ⊥ = 1
Defined in
Mathlib.Algebra.Order.IsBotOne
Cited by
1 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
PartialOrderOneIsBotOneClassOrderBot
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

bot_eq_one' · cited by 0bot_eq_one'PartialOrder · cited by 6410PartialOrderBot.bot · cited by 4720Bot.botOrderBot · cited by 1055OrderBotIsBotOneClass · cited by 35IsBotOneClassIsBot.eq_bot · cited by 2IsBot.eq_botisBot_one · cited by 2isBot_onebot_eq_oneCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.