Theorems · Theorem · functional analysis
ContinuousMapZero.continuous_precomp
∀ {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] (f : ContinuousMapZero X Y),
Continuous fun g => g.comp f- Cited by
- 4 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.comp'proof · cited by 184
- ContinuousMapZerostatement and proof · cited by 167
- toContinuousMapproof · cited by 99
- continuous_induced_domproof · cited by 47
- continuous_induced_rngproof · cited by 38
- ContinuousMapZero.compstatement · cited by 20
- ContinuousMap.continuous_precompproof · cited by 14
Cited by4
Results whose statement or proof uses this declaration.
- QuasispectrumRestricts.continuous_nonUnitalStarAlgHomproof · cited by 2
- cfcₙHomSuperset_continuousproof · cited by 1
- NonUnitalStarAlgHomClass.map_cfcₙproof · cited by 1
- ContinuousMapZero.continuous_comp_leftproof · cited by 0