Theorems · Definition · functional analysis
RCLike.realRingEquiv
{K : Type u_1} → [inst : RCLike K] → RCLike.I = 0 → K ≃+* ℝThe natural isomorphism between 𝕜 satisfying RCLike 𝕜 and ℝ when RCLike.I = 0.
- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 162 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement · cited by 25,697
- RCLikestatement and proof · cited by 2,829
- RingEquivstatement · cited by 1,147
- RCLike.ofRealproof · cited by 350
- RCLike.reproof · cited by 319
- RCLike.Istatement and proof · cited by 100
- RCLike.ofReal_reproof · cited by 60
Cited by6
Results whose statement or proof uses this declaration.
- RCLike.realLinearIsometryEquivproof · cited by 2
- RCLike.realRingEquiv.congr_simpstatement and proof · cited by 0
- RCLike.realLinearIsometryEquiv_applystatement · cited by 0
- RCLike.realLinearIsometryEquiv_symm_applystatement · cited by 0
- RCLike.realRingEquiv_applystatement and proof · cited by 0
- RCLike.realRingEquiv_symm_applystatement and proof · cited by 0