Theorems · Theorem · real analysis
contDiffAt_inv
∀ (𝕜 : Type u_1) [inst : NontriviallyNormedField 𝕜] {𝕜' : Type u_4} [inst_1 : NormedField 𝕜']
[inst_2 : NormedAlgebra 𝕜 𝕜'] {x : 𝕜'}, x ≠ 0 → ∀ {n : WithTop ℕ∞}, ContDiffAt 𝕜 n Inv.inv x- Cited by
- 3 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- Units.valproof · cited by 1,966
- NormedAlgebrastatement and proof · cited by 1,165
- NormedFieldstatement and proof · cited by 1,084
- ContDiffAtstatement and proof · cited by 262
- Units.mk0proof · cited by 181
- Ring.inverse_eq_inv'proof · cited by 15
- contDiffAt_ringInverseproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- ContDiffWithinAt.invproof · cited by 4
- smoothSheafCommRing.isUnit_stalk_iffproof · cited by 1
- contDiffOn_invproof · cited by 0