Theorems · Definition · linear algebra
Complex.equivRealProdLm
ℂ ≃ₗ[ℝ] ℝ × ℝ
The natural LinearEquiv from ℂ to ℝ × ℝ.
- Defined in
- Mathlib.LinearAlgebra.Complex.Module
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- Complexstatement and proof · cited by 5,565
- LinearEquivstatement · cited by 3,317
- AddEquivproof · cited by 1,087
- Equiv.toFunproof · cited by 279
- AddEquiv.toEquivproof · cited by 174
- Equiv.invFunproof · cited by 163
- Complex.equivRealProdAddHomproof · cited by 4
Cited by8
Results whose statement or proof uses this declaration.
- Complex.equivRealProdCLMproof · cited by 11
- Complex.antilipschitz_equivRealProdproof · cited by 2
- Complex.lipschitz_equivRealProdproof · cited by 1
- Complex.equivRealProdLm_applystatement and proof · cited by 0
- Complex.equivRealProdLm_symm_applystatement · cited by 0
- Complex.equivRealProdLm_symm_apply_imstatement and proof · cited by 0
- Complex.equivRealProdLm_symm_apply_restatement and proof · cited by 0
- Complex.convexHull_reProdImproof · cited by 0