Theorems · Theorem · functional analysis
TestFunction.originalTop_le
∀ {E : Type u_3} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {Ω : TopologicalSpace.Opens E} {F : Type u_4}
[inst_2 : NormedAddCommGroup F] [inst_3 : NormedSpace ℝ F] {n : ℕ∞},
TestFunction.originalTop Ω F n ≤ TestFunction.topologicalSpace Ω F n- Cited by
- 2 results in Mathlib
- Foundations
- Depth 222 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Set.ofPredproof · cited by 6,101
- ENatstatement and proof · cited by 4,985
- TopologicalSpace.Opensstatement and proof · cited by 2,040
- IsTopologicalAddGroupproof · cited by 1,394
- ContinuousSMulproof · cited by 1,016
- LocallyConvexSpaceproof · cited by 81
- TestFunctionstatement and proof · cited by 76
- le_sInfproof · cited by 51
Cited by2
Results whose statement or proof uses this declaration.
- TestFunction.topologicalSpace_le_iffproof · cited by 0
- TestFunction.continuous_ofSupportedInproof · cited by 0