Theorems · Theorem · functional analysis
ContinuousMapZero.continuous_toNNReal
∀ {X : Type u_1} [inst : TopologicalSpace X] [inst_1 : Zero X], Continuous ContinuousMapZero.toNNReal- Cited by
- 1 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- NNRealstatement and proof · cited by 4,310
- Continuousstatement and proof · cited by 2,592
- ContinuousMapproof · cited by 2,491
- Continuous.compproof · cited by 371
- ContinuousMapZerostatement and proof · cited by 167
- toContinuousMapproof · cited by 99
- continuous_induced_domproof · cited by 47
- ContinuousMap.realToNNRealproof · cited by 44
- continuous_induced_rngproof · cited by 38
- ContinuousMap.toNNRealproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- NonUnitalStarAlgHom.continuous_realContinuousMapZeroOfNNRealproof · cited by 0