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Theorems · Theorem · order theory

Subtype.mk_top

∀ {α : Type u} {p : α → Prop} [inst : PartialOrder α] [inst_1 : OrderTop α] [inst_2 : OrderTop (Subtype p)]
  (htop : p ⊤), ⟨⊤, htop⟩ = ⊤
Defined in
Mathlib.Order.BoundedOrder.Basic
Cited by
2 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Assumes
PartialOrderOrderTopOrderTop
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Around this declaration

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

Subtype.coe_top · cited by 2Subtype.coe_topComplementeds.mk_top · cited by 0Complementeds.mk_topTop.top · cited by 9680Top.topPartialOrder · cited by 6410PartialOrderOrderTop · cited by 493OrderTople_top · cited by 411le_toptop_le_iff · cited by 175top_le_iffSubtype.coe_le_coe · cited by 20Subtype.coe_le_coeSubtype.mk_topCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.