structure Std.Time.Internal.UnitVal (α : Rat) : Type

A structure representing a unit of a given ratio type α.

• ofInt :: (
• val : Int

  Value inside the UnitVal Value.

• )

theorem Std.Time.Internal.UnitVal.ext {α : Rat} {x y : UnitVal α} (val : x.val = y.val) : x = y

theorem Std.Time.Internal.UnitVal.ext_iff {α : Rat} {x y : UnitVal α} : x = y ↔ x.val = y.val

instance Std.Time.Internal.instInhabitedUnitVal {a✝ : Rat} : Inhabited (UnitVal a✝)

def Std.Time.Internal.instInhabitedUnitVal.default {a✝ : Rat} : UnitVal a✝

instance Std.Time.Internal.instDecidableEqUnitVal {α✝ : Rat} : DecidableEq (UnitVal α✝)

def Std.Time.Internal.instDecidableEqUnitVal.decEq {α✝ : Rat} (x✝ x✝¹ : UnitVal α✝) : Decidable (x✝ = x✝¹)

instance Std.Time.Internal.instLEUnitVal {x : Rat} : LE (UnitVal x)

instance Std.Time.Internal.instOrdUnitVal {x : Rat} : Ord (UnitVal x)

theorem Std.Time.Internal.UnitVal.compare_def {x : Rat} {a b : UnitVal x} : compare a b = compare a.val b.val

instance Std.Time.Internal.instOrientedOrdUnitVal {x : Rat} : OrientedOrd (UnitVal x)

instance Std.Time.Internal.instTransOrdUnitVal {x : Rat} : TransOrd (UnitVal x)

instance Std.Time.Internal.instLawfulEqOrdUnitVal {x : Rat} : LawfulEqOrd (UnitVal x)

instance Std.Time.Internal.instDecidableLeUnitVal {z : Rat} {x y : UnitVal z} : Decidable (x ≤ y)

@[inline]

def Std.Time.Internal.UnitVal.ofNat {α : Rat} (value : Nat) : UnitVal α

Creates a UnitVal from a Nat.

@[inline]

def Std.Time.Internal.UnitVal.toInt {α : Rat} (unit : UnitVal α) : Int

Converts a UnitVal to an Int.

@[inline]

def Std.Time.Internal.UnitVal.mul {a : Rat} (unit : UnitVal a) (factor : Int) : UnitVal (a / ↑factor)

Multiplies the UnitVal by an Int, resulting in a new UnitVal with an adjusted ratio.

@[inline]

def Std.Time.Internal.UnitVal.ediv {a : Rat} (unit : UnitVal a) (divisor : Int) : UnitVal (a * ↑divisor)

Divides the UnitVal by an Int, resulting in a new UnitVal with an adjusted ratio. Using the E-rounding convention (euclidean division)

@[inline]

def Std.Time.Internal.UnitVal.tdiv {a : Rat} (unit : UnitVal a) (divisor : Int) : UnitVal (a * ↑divisor)

Divides the UnitVal by an Int, resulting in a new UnitVal with an adjusted ratio. Using the "T-rounding" (Truncation-rounding) convention

@[inline]

def Std.Time.Internal.UnitVal.div {a : Rat} (unit : UnitVal a) (divisor : Int) : UnitVal (a * ↑divisor)

Divides the UnitVal by an Int, resulting in a new UnitVal with an adjusted ratio.

@[inline]

def Std.Time.Internal.UnitVal.add {α : Rat} (u1 u2 : UnitVal α) : UnitVal α

Adds two UnitVal values of the same ratio.

@[inline]

def Std.Time.Internal.UnitVal.sub {α : Rat} (u1 u2 : UnitVal α) : UnitVal α

Subtracts one UnitVal value from another of the same ratio.

@[inline]

def Std.Time.Internal.UnitVal.abs {α : Rat} (u : UnitVal α) : UnitVal α

Returns the absolute value of a UnitVal.

@[inline]

def Std.Time.Internal.UnitVal.convert {a b : Rat} (val : UnitVal a) : UnitVal b

Converts an Offset to another unit type.

instance Std.Time.Internal.UnitVal.instOfNat {α : Rat} {n : Nat} : OfNat (UnitVal α) n

instance Std.Time.Internal.UnitVal.instRepr {α : Rat} : Repr (UnitVal α)

instance Std.Time.Internal.UnitVal.instLE {α : Rat} : LE (UnitVal α)

instance Std.Time.Internal.UnitVal.instLT {α : Rat} : LT (UnitVal α)

instance Std.Time.Internal.UnitVal.instAdd {α : Rat} : Add (UnitVal α)

instance Std.Time.Internal.UnitVal.instSub {α : Rat} : Sub (UnitVal α)

instance Std.Time.Internal.UnitVal.instNeg {α : Rat} : Neg (UnitVal α)

instance Std.Time.Internal.UnitVal.instToString {n : Rat} : ToString (UnitVal n)

def Std.Time.Internal.UnitVal.cast {a b : Rat} : a = b → (x : UnitVal a) → UnitVal b

Cast a UnitVal through an equality in the rational numbers.