Theorems · Theorem · global analysis
ContDiffBump.support_eq
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : HasContDiffBump E] {c : E}
(f : ContDiffBump c), Function.support ↑f = Metric.ball c f.rOut- Cited by
- 8 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Norm.normproof · cited by 5,413
- Set.preimageproof · cited by 4,946
- Set.extproof · cited by 2,266
- sub_zeroproof · cited by 938
- Metric.ballstatement and proof · cited by 735
- Function.supportstatement · cited by 610
- norm_smulproof · cited by 242
- abs_of_posproof · cited by 114
Cited by8
Results whose statement or proof uses this declaration.
- SmoothBumpFunction.support_eq_inter_preimageproof · cited by 6
- ContDiffBump.support_normed_eqproof · cited by 5
- ContDiffBump.integral_posproof · cited by 3
- exists_contDiff_tsupport_subsetproof · cited by 3
- ContDiffBump.tsupport_eqproof · cited by 1
- ContDiffBump.zero_of_le_distproof · cited by 1
- ContDiffBump.convolution_eq_rightproof · cited by 0
- ContDiffBump.pos_of_mem_ballproof · cited by 0