Theorems · Theorem · global analysis
ContDiffBump.apply
∀ {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 = (someContDiffBumpBase E).toFun (f.rOut / f.rIn) (f.rIn⁻¹ • (x - c))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
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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.rOutstatement · cited by 51
- HasContDiffBumpstatement and proof · cited by 46
- ContDiffBump.toFunstatement · cited by 43
- ContDiffBump.rInstatement · cited by 22
- someContDiffBumpBasestatement · cited by 8
- ContDiffBumpBase.toFunstatement · cited by 7
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