SciLean.instMeasureSpaceFloat

declaration: instance SciLean.instMeasureSpaceFloat  : MeasureTheory.MeasureSpace Float


SciLean.instDenselyNormedFieldFloat

declaration: instance SciLean.instDenselyNormedFieldFloat  : DenselyNormedField Float


SciLean.instRealScalarFloat

declaration: instance SciLean.instRealScalarFloat  : SciLean.RealScalar Float


SciLean.instSeminormedRingFloat

declaration: instance SciLean.instSeminormedRingFloat  : SeminormedRing Float


SciLean.instNormedFieldFloat

declaration: instance SciLean.instNormedFieldFloat  : NormedField Float


declaration: theorem SciLean.re_float (a : Float) : ↑(RCLike.re a) = a


SciLean.instLinearOrderedCommRingFloat

declaration: instance SciLean.instLinearOrderedCommRingFloat  : LinearOrderedCommRing Float


SciLean.instRCLikeFloat

declaration: instance SciLean.instRCLikeFloat  : RCLike Float


SciLean.instFieldFloat

declaration: instance SciLean.instFieldFloat  : Field Float


SciLean.instIsRealFloat

declaration: instance SciLean.instIsRealFloat  : SciLean.IsReal Float


SciLean.instDecidableEqFloat

declaration: instance SciLean.instDecidableEqFloat  : DecidableEq Float


declaration: instance SciLean.instStarRingFloatToNonUnitalNonAssocSemiringToNonUnitalNonAssocCommSemiringToNonUnitalNonAssocCommRingToNonUnitalCommRingInstCommRingFloat  : StarRing Float


declaration: instance SciLean.instCompleteSpaceFloatToUniformSpaceToPseudoMetricSpaceInstSeminormedRingFloat  : CompleteSpace Float


SciLean.instLinearOrderedFieldFloat

declaration: instance SciLean.instLinearOrderedFieldFloat  : LinearOrderedField Float


SciLean.instCommRingFloat

declaration: instance SciLean.instCommRingFloat  : CommRing Float


declaration: instance SciLean.instNormedAlgebraRealFloatNormedFieldInstSeminormedRingFloat  : NormedAlgebra ℝ Float


declaration: theorem SciLean.conj_float (a : Float) : (starRingEnd Float) a = a


SciLean.instMeasurableSpaceFloat

declaration: instance SciLean.instMeasurableSpaceFloat  : MeasurableSpace Float


declaration: theorem SciLean.im_float (a : Float) : ↑(RCLike.im a) = 0


declaration: instance SciLean.instAlgebraRealFloatInstCommSemiringRealToSemiringToDivisionSemiringToSemifieldToLinearOrderedSemifieldInstLinearOrderedFieldFloat  : Algebra ℝ Float