Theorems · Theorem · global analysis
ContDiffBump.normed.congr_simp
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : HasContDiffBump E]
[inst_3 : MeasurableSpace E] {c : E} (f f_1 : ContDiffBump c),
f = f_1 → ∀ (μ μ_1 : MeasureTheory.Measure E), μ = μ_1 → ∀ (a a_1 : E), a = a_1 → f.normed μ a = f_1.normed μ_1 a_1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 251 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ContDiffBumpstatement and proof · cited by 61
- HasContDiffBumpstatement and proof · cited by 46
- ContDiffBump.normedstatement and proof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- ContDiffBump.ae_convolution_tendsto_right_of_locallyIntegrableproof · cited by 0