Theorems · Definition · global analysis
ImplicitFunctionData.rightFun
{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 → GRight function
- Defined in
- Mathlib.Analysis.Calculus.Implicit
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- CompleteSpacestatement and proof · cited by 2,532
- ImplicitFunctionDatastatement and proof · cited by 44
Cited by24
Results whose statement or proof uses this declaration.
- ImplicitFunctionData.prodFunproof · cited by 17
- ImplicitFunctionData.prodFun_applystatement · cited by 5
- HasStrictFDerivAt.eventually_apply_eq_iff_implicitFunctionOfProdDomainproof · cited by 4
- ImplicitFunctionData.fderiv_implicitFunction_apply_eq_iffstatement and proof · cited by 3
- ImplicitFunctionData.hasStrictFDerivAt_implicitFunctionstatement and proof · cited by 3
- ImplicitFunctionData.hasStrictFDerivAt_implicitFunction_fderivstatement and proof · cited by 2
- ImplicitFunctionData.implicitFunction_apply_imagestatement · cited by 2
- ImplicitFunctionData.rightFun_implicitFunctionstatement · cited by 2
- HasStrictFDerivAt.rightFun_implicitFunctionDataOfProdDomainstatement and proof · cited by 2
- HasStrictFDerivAt.to_implicitFunctionOfComplementedproof · cited by 1
- ImplicitFunctionData.contDiffAt_implicitFunctionstatement and proof · cited by 1
- ImplicitFunctionData.hasStrictFDerivAt_rightFunstatement · cited by 1