Theorems · Theorem · functional analysis
CompactlySupportedContinuousMap.toNNRealLinear_inj
∀ {α : Type u_2} [inst : TopologicalSpace α] (Λ₁ Λ₂ : CompactlySupportedContinuousMap α ℝ →ₚ[ℝ] ℝ),
CompactlySupportedContinuousMap.toNNRealLinear Λ₁ = CompactlySupportedContinuousMap.toNNRealLinear Λ₂ ↔ Λ₁ = Λ₂- Cited by
- 0 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
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Cites14
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
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- NNRealstatement and proof · cited by 4,310
- map_subproof · cited by 565
- CompactlySupportedContinuousMapstatement and proof · cited by 134
- PositiveLinearMapstatement and proof · cited by 52
- CompactlySupportedContinuousMap.toRealproof · cited by 15
- CompactlySupportedContinuousMap.nnrealPartproof · cited by 15
- CompactlySupportedContinuousMap.toNNRealLinearstatement and proof · cited by 6
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