LinearIsometry.re_apply_eq_re
∀ {f : ℂ →ₗᵢ[ℝ] ℂ}, f 1 = 1 → ∀ (z : ℂ), (f z).re = z.re- Defined in
- Mathlib.Analysis.Complex.Isometry
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Complexstatement and proof · cited by 5,565
- Complex.restatement · cited by 882
- LinearIsometrystatement and proof · cited by 194
- LinearIsometry.re_apply_eq_re_of_add_conj_eqproof · cited by 1
- LinearIsometry.im_apply_eq_improof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- linear_isometry_complex_auxproof · cited by 1