Theorems · Definition · functional analysis
RCLike.toPartialOrder
{K : semiOutParam (Type u_1)} → [self : RCLike K] → PartialOrder Konly an instance in the ComplexOrder scope
- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 106 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 4 definitions · uses no axioms
- Assumes
- RCLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement · cited by 6,410
- RCLikestatement and proof · cited by 2,829
Cited by120
Results whose statement or proof uses this declaration.
- RCLike.le_iff_re_imstatement · cited by 11
- RCLike.nonneg_iffstatement · cited by 8
- Matrix.PosSemidef.nonnegstatement · cited by 7
- ContinuousMap.realToRCLikeOrderEmbeddingstatement · cited by 7
- LDL.lowerInvstatement · cited by 6
- Matrix.PosSemidef.eigenvalues_nonnegstatement · cited by 6
- RCLike.nonneg_iff_exists_ofRealstatement · cited by 4
- Matrix.posSemidef_gramstatement · cited by 4
- RCLike.pos_iffstatement · cited by 4
- RCLike.lt_iff_re_imstatement · cited by 4
- RCLike.ofReal_posstatement · cited by 3
- Matrix.PosSemidef.posDef_iff_isUnitstatement · cited by 3