LinearIsometry.im_apply_eq_im
∀ {f : ℂ →ₗᵢ[ℝ] ℂ}, f 1 = 1 → ∀ (z : ℂ), z + (starRingEnd ℂ) z = f z + (starRingEnd ℂ) (f z)- Defined in
- Mathlib.Analysis.Complex.Isometry
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
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
- RingHom.idstatement and proof · cited by 18,349
- RingHomstatement · cited by 10,189
- Complexstatement and proof · cited by 5,565
- Norm.normproof · cited by 5,413
- mul_oneproof · cited by 3,885
- Complex.reproof · cited by 882
- map_oneproof · cited by 861
- starRingEndstatement and proof · cited by 671
- map_subproof · cited by 565
- one_powproof · cited by 521
Cited by1
Results whose statement or proof uses this declaration.
- LinearIsometry.re_apply_eq_reproof · cited by 1