Theorems · Definition · global analysis
ImplicitFunctionData.rightDeriv
{𝕜 : Type u_1} →
[inst : NontriviallyNormedField 𝕜] →
{E : Type u_2} →
[inst_1 : NormedAddCommGroup E] →
[inst_2 : NormedSpace 𝕜 E] →
[inst_3 : CompleteSpace E] →
{F : Type u_3} →
[inst_4 : NormedAddCommGroup F] →
[inst_5 : NormedSpace 𝕜 F] →
[inst_6 : CompleteSpace F] →
{G : Type u_4} →
[inst_7 : NormedAddCommGroup G] →
[inst_8 : NormedSpace 𝕜 G] →
[inst_9 : CompleteSpace G] → ImplicitFunctionData 𝕜 E F G → E →L[𝕜] GDerivative of the right function
- Defined in
- Mathlib.Analysis.Calculus.Implicit
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · 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 · cited by 5,352
- CompleteSpacestatement and proof · cited by 2,532
- ImplicitFunctionDatastatement and proof · cited by 44
Cited by11
Results whose statement or proof uses this declaration.
- ImplicitFunctionData.hasStrictFDerivAtstatement · cited by 12
- ImplicitFunctionData.range_rightDerivstatement · cited by 5
- ImplicitFunctionData.isCompl_kerstatement · cited by 5
- ImplicitFunctionData.prodFun_implicitFunctionproof · cited by 3
- ImplicitFunctionData.fderiv_implicitFunction_apply_eq_iffstatement and proof · cited by 3
- ImplicitFunctionData.hasStrictFDerivAt_implicitFunctionstatement and proof · cited by 3
- ImplicitFunctionData.hasStrictFDerivAt_implicitFunction_fderivproof · cited by 2
- ImplicitFunctionData.hasStrictFDerivAt_rightFunstatement · cited by 1
- ImplicitFunctionData.implicitFunction_defstatement · cited by 1
- ImplicitFunctionData.rightDeriv_fderiv_implicitFunctionstatement · cited by 0
- ImplicitFunctionData.implicitFunction_hasStrictFDerivAtstatement · cited by 0