Mathlib Map

Theorems · Theorem · general topology

Topology.IsEmbedding.id

∀ {X : Type u_1} [inst : TopologicalSpace X], Topology.IsEmbedding id
Defined in
Mathlib.Topology.Maps.Basic
Cited by
10 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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

Topology.IsEmbedding.of_leftInverse · cited by 3IsEmbedding.of_leftInverseisEmbedding_prodMkRight · cited by 2isEmbedding_prodMkRightTopology.IsClosedEmbedding.id · cited by 1IsClosedEmbedding.idisEmbedding_graph · cited by 1isEmbedding_graphTopology.IsOpenEmbedding.id · cited by 1IsOpenEmbedding.idIsDenseEmbedding.id · cited by 1IsDenseEmbedding.idTrivSqZeroExt.IsEmbedding.inl · cited by 0IsEmbedding.inlTrivSqZeroExt.IsEmbedding.inr · cited by 0IsEmbedding.inrManifold.IsSmoothEmbedding.id · cited by 0IsSmoothEmbedding.idisEmbedding_prodMkLeft · cited by 0isEmbedding_prodMkLeftTopologicalSpace · cited by 24529TopologicalSpaceTopology.IsEmbedding · cited by 294Topology.IsEmbeddingTopology.IsInducing.id · cited by 4IsInducing.idIsEmbedding.idCITED BYCITES

Cites3

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

Cited by10

Results whose statement or proof uses this declaration.