Theorems · Theorem · real analysis
ContinuousLinearMap.contDiff
∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {n : WithTop ℕ∞}
(f : E →L[𝕜] F), ContDiff 𝕜 n ⇑f- Defined in
- Mathlib.Analysis.Calculus.ContDiff.Basic
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement and proof · cited by 5,352
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- ContDiffstatement · cited by 352
- IsBoundedLinearMap.contDiffproof · cited by 6
- ContinuousLinearMap.isBoundedLinearMapproof · cited by 6
Cited by18
Results whose statement or proof uses this declaration.
- ContinuousLinearEquiv.contDiffproof · cited by 13
- LinearIsometryEquiv.contDiffproof · cited by 6
- contDiff_const_smulproof · cited by 5
- contDiff_norm_sqproof · cited by 5
- ContMDiffWithinAt.clm_postcompproof · cited by 3
- ContMDiffWithinAt.clm_precompproof · cited by 3
- contMDiff_coe_sphereproof · cited by 3
- ContinuousLinearMap.contDiffPointwiseHolderAtproof · cited by 3
- ContinuousAffineMap.contDiffproof · cited by 3
- contDiff_smul_constproof · cited by 2
- contDiffOn_stereoToFunproof · cited by 2
- ContMDiffWithinAt.clm_prodMapproof · cited by 2