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core.​init.​data.​fin.​basic

core.​init.​data.​fin.​basic

source
fin
fin.​decidable_eq
fin.​decidable_le
fin.​decidable_lt
fin.​elim0
fin.​eq_of_veq
fin.​has_le
fin.​has_lt
fin.​le
fin.​lt
fin.​ne_of_vne
fin.​veq_of_eq
fin.​vne_of_ne
source
structure fin  :
ℕ → Type

source
def fin.​lt {n : ℕ} :
fin n → fin n → Prop

Equations
source
def fin.​le {n : ℕ} :
fin n → fin n → Prop

Equations
source
@[instance]
def fin.​has_lt {n : ℕ} :
has_lt (fin n)

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source
@[instance]
def fin.​has_le {n : ℕ} :
has_le (fin n)

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source
@[instance]
def fin.​decidable_lt {n : ℕ} (a b : fin n) :
decidable (a < b)

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source
@[instance]
def fin.​decidable_le {n : ℕ} (a b : fin n) :
decidable (a ≤ b)

Equations
source
def fin.​elim0 {α : Sort u} :
fin 0 → α

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source
@[ext]
theorem fin.​eq_of_veq {n : ℕ} {i j : fin n} :
i.val = j.val → i = j

source
theorem fin.​veq_of_eq {n : ℕ} {i j : fin n} :
i = j → i.val = j.val

source
theorem fin.​ne_of_vne {n : ℕ} {i j : fin n} :
i.val ≠ j.val → i ≠ j

source
theorem fin.​vne_of_ne {n : ℕ} {i j : fin n} :
i ≠ j → i.val ≠ j.val

source
@[instance]
def fin.​decidable_eq (n : ℕ) :
decidable_eq (fin n)

Equations

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dist
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omega
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