Documentation
QuasiBorelSpaces
.
OmegaCompletePartialOrder
.
Chain
.
Const
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Imports
Init
Mathlib.Order.OmegaCompletePartialOrder
Imported by
OmegaCompletePartialOrder
.
Chain
.
const
OmegaCompletePartialOrder
.
Chain
.
const_apply
source
def
OmegaCompletePartialOrder
.
Chain
.
const
{
A
:
Type
u_1}
[
Preorder
A
]
(
x
:
A
)
:
Chain
A
The chain that always returns the same value.
Equations
OmegaCompletePartialOrder.Chain.const
x
=
(
OrderHom.const
ℕ
)
x
Instances For
source
@[simp]
theorem
OmegaCompletePartialOrder
.
Chain
.
const_apply
{
A
:
Type
u_1}
[
Preorder
A
]
(
x
:
A
)
(
n
:
ℕ
)
:
(
const
x
)
n
=
x