Theorems · Definition · functional analysis
RCLike.ofReal
{K : Type u_1} → [RCLike K] → ℝ → KCoercion from ℝ to an RCLike field.
- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 350 results in Mathlib
- Foundations
- Depth 158 from the axioms, rests on 3,676 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Algebra.castproof · cited by 58
Cited by358
Results whose statement or proof uses this declaration.
- inner_self_eq_norm_sq_to_Kstatement and proof · cited by 72
- RCLike.ofReal_restatement · cited by 60
- RCLike.ofReal_imstatement · cited by 41
- RCLike.re_add_imstatement · cited by 21
- RCLike.conj_ofRealstatement and proof · cited by 18
- ContinuousMap.realToRCLikeproof · cited by 18
- LinearIsometry.inner_map_mapproof · cited by 16
- orthonormal_iff_iteproof · cited by 15
- RCLike.mapproof · cited by 14
- Submodule.orthogonal_orthogonalproof · cited by 14
- InnerProductSpace.gramSchmidtNormedproof · cited by 13
- Module.Dual.extendRCLikeproof · cited by 12
Showing the 200 most cited of 358.