Theorems · Definition · functional analysis
RCLike.imCLM
{K : Type u_1} → [inst : RCLike K] → StrongDual ℝ KThe imaginary part in an RCLike field, as a continuous linear map.
- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 167 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- RCLikestatement and proof · cited by 2,829
- StrongDualstatement · cited by 459
- LinearMap.mkContinuousproof · cited by 9
- RCLike.imLmproof · cited by 2
Cited by8
Results whose statement or proof uses this declaration.
- RCLike.continuous_improof · cited by 4
- RCLike.hasSum_improof · cited by 2
- RCLike.im_tsumproof · cited by 1
- integral_improof · cited by 1
- RCLike.imCLM_applystatement · cited by 0
- RCLike.imCLM_coestatement · cited by 0
- intervalIntegral.intervalIntegral_improof · cited by 0