Theorems · Theorem · functional analysis
ContinuousMapZero.continuous_postcomp
∀ {X : Type u_1} {Y : Type u_2} {R : Type u_3} [inst : Zero X] [inst_1 : Zero Y] [inst_2 : Zero R]
[inst_3 : TopologicalSpace X] [inst_4 : TopologicalSpace Y] [inst_5 : TopologicalSpace R] (g : ContinuousMapZero Y R),
Continuous g.comp- Cited by
- 1 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Continuousstatement · cited by 2,592
- Continuous.compproof · cited by 371
- ContinuousMapZerostatement and proof · cited by 167
- Topology.IsEmbedding.continuousproof · cited by 51
- Topology.IsEmbedding.continuous_iffproof · cited by 21
- ContinuousMapZero.compstatement · cited by 20
- ContinuousMapZero.isEmbedding_toContinuousMapproof · cited by 9
- ContinuousMap.continuous_postcompproof · cited by 9
- ContinuousMapZero.toContinuousMapproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- QuasispectrumRestricts.continuous_nonUnitalStarAlgHomproof · cited by 2