Theorems · Theorem · functional analysis
RCLike.continuous_ofReal
∀ {K : Type u_1} [inst : RCLike K], Continuous RCLike.ofReal- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 161 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 · cited by 25,697
- RCLikestatement and proof · cited by 2,829
- Continuousstatement · cited by 2,592
- RCLike.ofRealstatement · cited by 350
- RCLike.ofRealLIproof · cited by 6
- LinearIsometry.continuousproof · cited by 4
Cited by10
Results whose statement or proof uses this declaration.
- ContinuousMap.realToRCLikeStarAlgHomproof · cited by 3
- RCLike.measurable_ofRealproof · cited by 2
- Subalgebra.SeparatesPoints.rclike_to_realstatement and proof · cited by 2
- ContinuousMap.setOfIdeal_ofSet_eq_interiorproof · cited by 1
- MeasureTheory.FiniteMeasure.tendsto_iff_forall_integral_rclike_tendstoproof · cited by 1
- RCLike.restrict_toContinuousMap_eq_toContinuousMapStar_restrictstatement and proof · cited by 1
- WeakBilin.continuous_of_continuous_eval_reproof · cited by 1
- Continuous.inner_proof · cited by 0
- WeakDual.CharacterSpace.continuousMapEval_bijectiveproof · cited by 0