Theorems · Theorem · general topology
continuous_id
∀ {X : Type u_1} [inst : TopologicalSpace X], Continuous id- Defined in
- Mathlib.Topology.Continuous
- Cited by
- 192 results in Mathlib
- Foundations
- Depth 7 from the axioms, rests on 14 definitions · uses no axioms
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Continuousstatement · cited by 2,592
- continuous_defproof · cited by 21
Cited by201
Results whose statement or proof uses this declaration.
- continuous_id'proof · cited by 295
- ContinuousLinearMap.idproof · cited by 233
- continuous_fstproof · cited by 103
- continuous_sndproof · cited by 91
- Topology.IsInducing.continuousproof · cited by 48
- continuous_normproof · cited by 36
- ContinuousAlgEquiv.reflproof · cited by 31
- continuousOn_idproof · cited by 30
- continuousAt_idproof · cited by 28
- HasSum.mul_leftproof · cited by 25
- ENNReal.continuous_ofRealproof · cited by 16
- starL'proof · cited by 15
Showing the 200 most cited of 201.