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Theorems · Theorem · global analysis

ContDiffBump.neg

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : HasContDiffBump E]
  (f : ContDiffBump 0) (x : E), ↑f (-x) = ↑f x
Defined in
Mathlib.Analysis.Calculus.BumpFunction.Basic
Cited by
1 results in Mathlib
Foundations
Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedAddCommGroupNormedSpaceHasContDiffBump
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ContDiffBump.normed_neg · cited by 0ContDiffBump.normed_negReal · cited by 25697RealNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpacezero_add · cited by 2366zero_addContDiffBump · cited by 61ContDiffBumpHasContDiffBump · cited by 46HasContDiffBumpContDiffBump.toFun · cited by 43ContDiffBump.toFunContDiffBump.sub · cited by 2ContDiffBump.subContDiffBump.toFun.congr_simp · cited by 1toFun.congr_simpContDiffBump.negCITED BYCITES

Cites9

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Cited by1

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