Mathlib Map

Theorems · Definition · order theory

Subtype.relEmbedding

{X : Type u_5} → (r : X → X → Prop) → (p : X → Prop) → Subtype.val ⁻¹'o r ↪r r

The induced relation on a subtype is an embedding under the natural inclusion.

Defined in
Mathlib.Order.RelIso.Basic
Cited by
2 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
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Around this declaration

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Set.chainHeight_coe_univ · cited by 2Set.chainHeight_coe_univSubmodule.MapSubtype.orderEmbedding · cited by 2MapSubtype.orderEmbeddingSubtype.relEmbedding_apply · cited by 1Subtype.relEmbedding_applySubmodule.comapMkQOrderEmbedding · cited by 1Submodule.comapMkQOrderEm…RelEmbedding · cited by 281RelEmbeddingFunction.Embedding.subtype · cited by 128Embedding.subtypeOrder.Preimage · cited by 42Order.PreimageSubtype.relEmbeddingCITED BYCITES

Cites3

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Cited by4

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