Theorems · Theorem · global analysis
ContDiffBump.le_one
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : HasContDiffBump E] {c : E}
(f : ContDiffBump c) {x : E}, ↑f x ≤ 1- Cited by
- 5 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.
Cites10
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
- NormedSpacestatement and proof · cited by 12,499
- ContDiffBumpstatement and proof · cited by 61
- ContDiffBump.rOutproof · cited by 51
- HasContDiffBumpstatement and proof · cited by 46
- ContDiffBump.toFunstatement · cited by 43
- ContDiffBump.rInproof · cited by 22
- someContDiffBumpBaseproof · cited by 8
- ContDiffBumpBase.mem_Iccproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- exists_contDiff_tsupport_subsetproof · cited by 3
- SmoothBumpFunction.mem_Iccproof · cited by 2
- ContDiffBump.normed_le_div_measure_closedBall_rOutproof · cited by 1
- ContDiffBump.integral_le_measure_closedBallproof · cited by 0
- ContDiffBump.normed_le_div_measure_closedBall_rInproof · cited by 0