inductive Std.Time.Weekday : Type

Defines the enumeration for days of the week. Each variant corresponds to a day of the week.

• monday : Weekday

  Monday.

• tuesday : Weekday

  Tuesday.

• wednesday : Weekday

  Wednesday.

• thursday : Weekday

  Thursday.

• friday : Weekday

  Friday.

• saturday : Weekday

  Saturday.

• sunday : Weekday

  Sunday.

instance Std.Time.instReprWeekday : Repr Weekday

Equations

• Std.Time.instReprWeekday = { reprPrec := Std.Time.reprWeekday✝ }

instance Std.Time.instInhabitedWeekday : Inhabited Weekday

Equations

• Std.Time.instInhabitedWeekday = { default := Std.Time.Weekday.monday }

instance Std.Time.instBEqWeekday : BEq Weekday

Equations

• Std.Time.instBEqWeekday = { beq := Std.Time.beqWeekday✝ }

def Std.Time.Weekday.Ordinal : Type

Ordinal represents a bounded value for weekdays, which ranges between 1 and 7.

Equations

• Std.Time.Weekday.Ordinal = Std.Time.Internal.Bounded.LE 1 7

instance Std.Time.Weekday.instOfNatOrdinal {n : Nat} : OfNat Ordinal n

Equations

• Std.Time.Weekday.instOfNatOrdinal = inferInstanceAs (OfNat (Std.Time.Internal.Bounded.LE 1 (1 + ↑6)) n)

def Std.Time.Weekday.ofOrdinal : Ordinal → Weekday

Converts a Ordinal representing a day index into a corresponding Weekday. This function is useful for mapping numerical representations to days of the week.

Equations

• Std.Time.Weekday.ofOrdinal ⟨Int.ofNat 1, ⋯⟩ = Std.Time.Weekday.monday
• Std.Time.Weekday.ofOrdinal ⟨Int.ofNat 2, ⋯⟩ = Std.Time.Weekday.tuesday
• Std.Time.Weekday.ofOrdinal ⟨Int.ofNat 3, ⋯⟩ = Std.Time.Weekday.wednesday
• Std.Time.Weekday.ofOrdinal ⟨Int.ofNat 4, ⋯⟩ = Std.Time.Weekday.thursday
• Std.Time.Weekday.ofOrdinal ⟨Int.ofNat 5, ⋯⟩ = Std.Time.Weekday.friday
• Std.Time.Weekday.ofOrdinal ⟨Int.ofNat 6, ⋯⟩ = Std.Time.Weekday.saturday
• Std.Time.Weekday.ofOrdinal ⟨Int.ofNat 7, ⋯⟩ = Std.Time.Weekday.sunday

def Std.Time.Weekday.toOrdinal : Weekday → Ordinal

Converts a Weekday to a Ordinal.

Equations

• Std.Time.Weekday.monday.toOrdinal = 1
• Std.Time.Weekday.tuesday.toOrdinal = 2
• Std.Time.Weekday.wednesday.toOrdinal = 3
• Std.Time.Weekday.thursday.toOrdinal = 4
• Std.Time.Weekday.friday.toOrdinal = 5
• Std.Time.Weekday.saturday.toOrdinal = 6
• Std.Time.Weekday.sunday.toOrdinal = 7

def Std.Time.Weekday.toNat : Weekday → Nat

Converts a Weekday to a Nat.

Equations

• Std.Time.Weekday.monday.toNat = 1
• Std.Time.Weekday.tuesday.toNat = 2
• Std.Time.Weekday.wednesday.toNat = 3
• Std.Time.Weekday.thursday.toNat = 4
• Std.Time.Weekday.friday.toNat = 5
• Std.Time.Weekday.saturday.toNat = 6
• Std.Time.Weekday.sunday.toNat = 7

def Std.Time.Weekday.ofNat? : Nat → Option Weekday

Converts a Nat to an Option Weekday.

@[inline]

def Std.Time.Weekday.ofNat! (n : Nat) : Weekday

Converts a Nat to a Weekday. Panics if the value provided is invalid.

Equations

• Std.Time.Weekday.ofNat! n = match Std.Time.Weekday.ofNat? n with | some res => res | none => panicWithPosWithDecl "Std.Time.Date.Unit.Weekday" "Std.Time.Weekday.ofNat!" 110 12 "invalid weekday"

def Std.Time.Weekday.next : Weekday → Weekday

Gets the next Weekday.

Equations

• Std.Time.Weekday.monday.next = Std.Time.Weekday.tuesday
• Std.Time.Weekday.tuesday.next = Std.Time.Weekday.wednesday
• Std.Time.Weekday.wednesday.next = Std.Time.Weekday.thursday
• Std.Time.Weekday.thursday.next = Std.Time.Weekday.friday
• Std.Time.Weekday.friday.next = Std.Time.Weekday.saturday
• Std.Time.Weekday.saturday.next = Std.Time.Weekday.sunday
• Std.Time.Weekday.sunday.next = Std.Time.Weekday.monday

def Std.Time.Weekday.isWeekend : Weekday → Bool

Check if it's a weekend.

Equations

• Std.Time.Weekday.saturday.isWeekend = true
• Std.Time.Weekday.sunday.isWeekend = true
• x✝.isWeekend = false