Theorems · Theorem · functional analysis
CompactlySupportedContinuousMap.exists_add_nnrealPart_add_eq
∀ {α : Type u_2} [inst : TopologicalSpace α] (f g : CompactlySupportedContinuousMap α ℝ),
∃ h,
(f + g).nnrealPart + h = f.nnrealPart + g.nnrealPart ∧ (-f + -g).nnrealPart + h = (-f).nnrealPart + (-g).nnrealPart- Cited by
- 0 results in Mathlib
- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- NNRealstatement and proof · cited by 4,310
- Nat.cast_zeroproof · cited by 1,870
- NNReal.toRealproof · cited by 1,260
- NNReal.eqproof · cited by 201
- CompactlySupportedContinuousMapstatement and proof · cited by 134
- CompactlySupportedContinuousMap.nnrealPartstatement and proof · cited by 15
- CompactlySupportedContinuousMap.extproof · cited by 15
- max_neg_zeroproof · cited by 3
- CompactlySupportedContinuousMap.exists_add_of_leproof · cited by 2
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