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Theorems · Definition · global analysis

ContDiffBumpBase.toFun

{E : Type u_3} → [inst : NormedAddCommGroup E] → [inst_1 : NormedSpace ℝ E] → ContDiffBumpBase E → ℝ → E → ℝ

The function underlying this family of bump functions

Defined in
Mathlib.Analysis.Calculus.BumpFunction.Basic
Cited by
7 results in Mathlib
Foundations
Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedAddCommGroupNormedSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ContDiffBump.toFun · cited by 43ContDiffBump.toFunContDiffBumpBase.mem_Icc · cited by 2ContDiffBumpBase.mem_IccContDiffBump.sub · cited by 2ContDiffBump.subContDiffBumpBase.eq_one · cited by 1ContDiffBumpBase.eq_oneContDiffBumpBase.smooth · cited by 1ContDiffBumpBase.smoothContDiffBumpBase.support · cited by 1ContDiffBumpBase.supportContDiffBumpBase.symmetric · cited by 1ContDiffBumpBase.symmetricContDiffBump.apply · cited by 0ContDiffBump.applyReal · cited by 25697RealNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceContDiffBumpBase · cited by 11ContDiffBumpBaseContDiffBumpBase.toFunCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by8

Results whose statement or proof uses this declaration.