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Theorems · Theorem · order theory

isSimpleOrder_iff_isSimpleOrder_orderDual

∀ {α : Type u_2} [inst : LE α] [inst_1 : BoundedOrder α], IsSimpleOrder α ↔ IsSimpleOrder αᵒᵈ
Defined in
Mathlib.Order.Atoms
Cited by
1 results in Mathlib
Foundations
Depth 14 from the axioms · uses Quot.sound
Assumes
LEBoundedOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

isSimpleOrder_iff_isCoatom_bot · cited by 2isSimpleOrder_iff_isCoato…DFunLike.coe · cited by 62936DFunLike.coeOrderDual · cited by 927OrderDualOrderDual.toDual · cited by 481OrderDual.toDualOrderDual.ofDual · cited by 400OrderDual.ofDualBoundedOrder · cited by 270BoundedOrderIsSimpleOrder · cited by 54IsSimpleOrderIsSimpleOrder.eq_bot_or_eq_top · cited by 32IsSimpleOrder.eq_bot_or_e…isSimpleOrder_iff_isSimpleOrd…CITED BYCITES

Cites7

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.