Mathlib Map

Theorems · Theorem · order theory

isCoatom_bot

∀ {α : Type u_2} [inst : PartialOrder α] [inst_1 : BoundedOrder α] [IsSimpleOrder α], IsCoatom ⊥
Defined in
Mathlib.Order.Atoms
Cited by
2 results in Mathlib
Foundations
Depth 16 from the axioms · uses Quot.sound
Assumes
PartialOrderBoundedOrderIsSimpleOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

IsSimpleModule.jacobson_eq_bot · cited by 1IsSimpleModule.jacobson_e…isCoatom_iff_eq_bot · cited by 0isCoatom_iff_eq_botPartialOrder · cited by 6410PartialOrderBot.bot · cited by 4720Bot.botBoundedOrder · cited by 270BoundedOrderIsCoatom · cited by 114IsCoatomIsSimpleOrder · cited by 54IsSimpleOrderisAtom_top · cited by 5isAtom_topisAtom_dual_iff_isCoatom · cited by 3isAtom_dual_iff_isCoatomisCoatom_botCITED BYCITES

Cites7

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

Cited by2

Results whose statement or proof uses this declaration.