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Theorems · Theorem · order theory

isMax_toDual_iff

∀ {α : Type u_1} [inst : LE α] {a : α}, IsMax (OrderDual.toDual a) ↔ IsMin a
Defined in
Mathlib.Order.Max
Cited by
2 results in Mathlib
Foundations
Depth 14 from the axioms · uses Quot.sound
Assumes
LE
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Around this declaration

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

IsMin.toDual · cited by 2IsMin.toDualOrder.isPredLimit_toDual_iff · cited by 1Order.isPredLimit_toDual_…DFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivOrderDual · cited by 927OrderDualOrderDual.toDual · cited by 481OrderDual.toDualIsMax · cited by 372IsMaxIsMin · cited by 277IsMinisMax_toDual_iffCITED BYCITES

Cites6

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.