Mathlib Map

Theorems · Definition · order theory

WithTop.coeOrderHom

{α : Type u_4} → [inst : Preorder α] → α ↪o WithTop α

The coercion α → WithTop α bundled as monotone map.

Defined in
Mathlib.Order.Hom.WithTopBot
Cited by
6 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Quot.sound
Assumes
Preorder
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Around this declaration

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

Module.End.maxUnifEigenspaceIndex · cited by 8End.maxUnifEigenspaceIndexModule.End.genEigenspace_top_eq_maxUnifEigenspaceIndex · cited by 5End.genEigenspace_top_eq_…CategoryTheory.CardinalDirectedPoset.isCardinalPresentable_iff · cited by 3CardinalDirectedPoset.isC…Module.End.maxUnifEigenspaceIndex_le_finrank · cited by 1End.maxUnifEigenspaceInde…WithTop.coe_covBy_coe · cited by 0WithTop.coe_covBy_coeWithTop.coe_wcovBy_coe · cited by 0WithTop.coe_wcovBy_coeWithTop.coeOrderHom_apply · cited by 0WithTop.coeOrderHom_applyPreorder · cited by 7952PreorderWithTop · cited by 3754WithTopWithTop.some · cited by 1128WithTop.someOrderEmbedding · cited by 619OrderEmbeddingWithTop.coe_injective · cited by 3WithTop.coe_injectiveWithTop.coeOrderHomCITED BYCITES

Cites5

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

Cited by7

Results whose statement or proof uses this declaration.