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core.​init.​data.​setoid

core.​init.​data.​setoid

source
setoid
setoid.​refl
setoid.​symm
setoid.​trans
setoid_has_equiv
source
@[class]
structure setoid  :
Sort u → Sort (max 1 u)

Instances
source
@[instance]
def setoid_has_equiv {α : Sort u} [setoid α] :
has_equiv α

Equations
source
theorem setoid.​refl {α : Sort u} [setoid α] (a : α) :
a ≈ a

source
theorem setoid.​symm {α : Sort u} [setoid α] {a b : α} :
a ≈ b → b ≈ a

source
theorem setoid.​trans {α : Sort u} [setoid α] {a b c : α} :
a ≈ b → b ≈ c → a ≈ c

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