Theorems · Theorem · functional analysis
CompactlySupportedContinuousMap.nnrealPart_add_le_add_nnrealPart
∀ {α : Type u_2} [inst : TopologicalSpace α] (f g : CompactlySupportedContinuousMap α ℝ),
(f + g).nnrealPart ≤ f.nnrealPart + g.nnrealPart- Cited by
- 1 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 · cited by 4,310
- CompactlySupportedContinuousMapstatement and proof · cited by 134
- CompactlySupportedContinuousMap.nnrealPartstatement · cited by 15
- Real.toNNReal_add_leproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CompactlySupportedContinuousMap.exists_add_nnrealPart_add_eqproof · cited by 0