Theorems · Theorem · functional analysis
RCLike.inv_def
∀ {K : Type u_1} [inst : RCLike K] (z : K), z⁻¹ = (starRingEnd K) z * ↑(‖z‖ ^ 2)⁻¹- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHomstatement · cited by 10,189
- Norm.normstatement and proof · cited by 5,413
- Algebra.algebraMapproof · cited by 4,706
- RCLikestatement and proof · cited by 2,829
- MulZeroClass.mul_zeroproof · cited by 2,091
- mul_assocproof · cited by 1,667
- map_zeroproof · cited by 1,614
- eq_or_neproof · cited by 1,117
- starRingEndstatement and proof · cited by 671
- norm_zeroproof · cited by 366
Cited by2
Results whose statement or proof uses this declaration.
- RCLike.inv_improof · cited by 3
- RCLike.inv_reproof · cited by 3