Theorems · Theorem · functional analysis
RCLike.ofReal_pos
∀ {K : Type u_1} [inst : RCLike K] {x : ℝ}, 0 < ↑x ↔ 0 < x- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 164 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.
Cites6
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
- RCLikestatement and proof · cited by 2,829
- RCLike.ofRealstatement and proof · cited by 350
- RCLike.toPartialOrderstatement · cited by 106
- RCLike.ofReal_zeroproof · cited by 7
- RCLike.ofReal_lt_ofRealproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Real.Gamma_eq_integralproof · cited by 4
- RCLike.inv_pos_of_posproof · cited by 2
- StarAlgEquiv.eq_linearIsometryEquivConjStarAlgEquivproof · cited by 0