Theorems · Theorem · general topology
Homeomorph.isClosedEmbedding
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y),
Topology.IsClosedEmbedding ⇑h- Defined in
- Mathlib.Topology.Homeomorph.Defs
- Cited by
- 37 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Homeomorphstatement and proof · cited by 725
- Topology.IsClosedEmbeddingstatement · cited by 195
- Homeomorph.isEmbeddingproof · cited by 73
- Homeomorph.isClosedMapproof · cited by 18
- Topology.IsClosedEmbedding.of_isEmbedding_isClosedMapproof · cited by 2
Cited by37
Results whose statement or proof uses this declaration.
- tsum_mul_leftproof · cited by 21
- HasCompactSupport.comp_homeomorphproof · cited by 10
- intervalIntegral.integral_comp_add_rightproof · cited by 9
- IntervalIntegrable.comp_mul_leftproof · cited by 6
- tsum_mul_rightproof · cited by 6
- IntervalIntegrable.comp_add_rightproof · cited by 6
- tsum_negproof · cited by 5
- IsHomeomorph.isClosedEmbeddingproof · cited by 4
- intervalIntegral.integral_comp_mul_rightproof · cited by 3
- MeasureTheory.Measure.addHaarScalarFactor_domSMulproof · cited by 3
- tsum_opproof · cited by 3
- integral_bilinear_hasLineDerivAt_right_eq_neg_left_of_integrableproof · cited by 2