blob: c940ed26fcdee48a9e0ce4204ab460c8ddb7971b (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
|
==================== Tidy Core rules ====================
"SPEC $c*> @(ST s) @_"
forall (@s) (@r) ($dApplicative :: Applicative (ST s)).
$fApplicativeReaderT_$c*> @(ST s) @r $dApplicative
= ($fApplicativeReaderT2 @s @r)
`cast` (forall (a :: <*>_N) (b :: <*>_N).
<ReaderT r (ST s) a>_R
%<'Many>_N ->_R <ReaderT r (ST s) b>_R
%<'Many>_N ->_R <r>_R %<'Many>_N ->_R Sym (N:ST[0] <s>_N <b>_R)
; Sym (N:ReaderT[0] <*>_N <r>_R <ST s>_R <b>_N)
:: Coercible
(forall {a} {b}.
ReaderT r (ST s) a -> ReaderT r (ST s) b -> r -> STRep s b)
(forall {a} {b}.
ReaderT r (ST s) a -> ReaderT r (ST s) b -> ReaderT r (ST s) b))
"SPEC $c<$ @(ST s) @_"
forall (@s) (@r) ($dFunctor :: Functor (ST s)).
$fFunctorReaderT_$c<$ @(ST s) @r $dFunctor
= ($fApplicativeReaderT6 @s @r)
`cast` (forall (a :: <*>_N) (b :: <*>_N).
<a>_R
%<'Many>_N ->_R <ReaderT r (ST s) b>_R
%<'Many>_N ->_R <r>_R %<'Many>_N ->_R Sym (N:ST[0] <s>_N <a>_R)
; Sym (N:ReaderT[0] <*>_N <r>_R <ST s>_R <a>_N)
:: Coercible
(forall {a} {b}. a -> ReaderT r (ST s) b -> r -> STRep s a)
(forall {a} {b}. a -> ReaderT r (ST s) b -> ReaderT r (ST s) a))
"SPEC $c<* @(ST s) @_"
forall (@s) (@r) ($dApplicative :: Applicative (ST s)).
$fApplicativeReaderT_$c<* @(ST s) @r $dApplicative
= ($fApplicativeReaderT1 @s @r)
`cast` (forall (a :: <*>_N) (b :: <*>_N).
<ReaderT r (ST s) a>_R
%<'Many>_N ->_R <ReaderT r (ST s) b>_R
%<'Many>_N ->_R <r>_R %<'Many>_N ->_R Sym (N:ST[0] <s>_N <a>_R)
; Sym (N:ReaderT[0] <*>_N <r>_R <ST s>_R <a>_N)
:: Coercible
(forall {a} {b}.
ReaderT r (ST s) a -> ReaderT r (ST s) b -> r -> STRep s a)
(forall {a} {b}.
ReaderT r (ST s) a -> ReaderT r (ST s) b -> ReaderT r (ST s) a))
"SPEC $c<*> @(ST s) @_"
forall (@s) (@r) ($dApplicative :: Applicative (ST s)).
$fApplicativeReaderT9 @(ST s) @r $dApplicative
= ($fApplicativeReaderT4 @s @r)
`cast` (forall (a :: <*>_N) (b :: <*>_N).
<ReaderT r (ST s) (a -> b)>_R
%<'Many>_N ->_R <ReaderT r (ST s) a>_R
%<'Many>_N ->_R <r>_R
%<'Many>_N ->_R Sym (N:ST[0] <s>_N <b>_R)
:: Coercible
(forall {a} {b}.
ReaderT r (ST s) (a -> b) -> ReaderT r (ST s) a -> r -> STRep s b)
(forall {a} {b}.
ReaderT r (ST s) (a -> b) -> ReaderT r (ST s) a -> r -> ST s b))
"SPEC $c>> @(ST s) @_"
forall (@s) (@r) ($dMonad :: Monad (ST s)).
$fMonadReaderT1 @(ST s) @r $dMonad
= $fMonadAbstractIOSTReaderT_$s$c>> @s @r
"SPEC $c>>= @(ST s) @_"
forall (@s) (@r) ($dMonad :: Monad (ST s)).
$fMonadReaderT2 @(ST s) @r $dMonad
= ($fMonadAbstractIOSTReaderT2 @s @r)
`cast` (forall (a :: <*>_N) (b :: <*>_N).
<ReaderT r (ST s) a>_R
%<'Many>_N ->_R <a -> ReaderT r (ST s) b>_R
%<'Many>_N ->_R <r>_R
%<'Many>_N ->_R Sym (N:ST[0] <s>_N <b>_R)
:: Coercible
(forall {a} {b}.
ReaderT r (ST s) a -> (a -> ReaderT r (ST s) b) -> r -> STRep s b)
(forall {a} {b}.
ReaderT r (ST s) a -> (a -> ReaderT r (ST s) b) -> r -> ST s b))
"SPEC $cfmap @(ST s) @_"
forall (@s) (@r) ($dFunctor :: Functor (ST s)).
$fFunctorReaderT_$cfmap @(ST s) @r $dFunctor
= ($fApplicativeReaderT7 @s @r)
`cast` (forall (a :: <*>_N) (b :: <*>_N).
<a -> b>_R
%<'Many>_N ->_R <ReaderT r (ST s) a>_R
%<'Many>_N ->_R <r>_R %<'Many>_N ->_R Sym (N:ST[0] <s>_N <b>_R)
; Sym (N:ReaderT[0] <*>_N <r>_R <ST s>_R <b>_N)
:: Coercible
(forall {a} {b}. (a -> b) -> ReaderT r (ST s) a -> r -> STRep s b)
(forall {a} {b}.
(a -> b) -> ReaderT r (ST s) a -> ReaderT r (ST s) b))
"SPEC $cliftA2 @(ST s) @_"
forall (@s) (@r) ($dApplicative :: Applicative (ST s)).
$fApplicativeReaderT_$cliftA2 @(ST s) @r $dApplicative
= ($fApplicativeReaderT3 @s @r)
`cast` (forall (a :: <*>_N) (b :: <*>_N) (c :: <*>_N).
<a -> b -> c>_R
%<'Many>_N ->_R <ReaderT r (ST s) a>_R
%<'Many>_N ->_R <ReaderT r (ST s) b>_R
%<'Many>_N ->_R <r>_R %<'Many>_N ->_R Sym (N:ST[0] <s>_N <c>_R)
; Sym (N:ReaderT[0] <*>_N <r>_R <ST s>_R <c>_N)
:: Coercible
(forall {a} {b} {c}.
(a -> b -> c)
-> ReaderT r (ST s) a -> ReaderT r (ST s) b -> r -> STRep s c)
(forall {a} {b} {c}.
(a -> b -> c)
-> ReaderT r (ST s) a -> ReaderT r (ST s) b -> ReaderT r (ST s) c))
"SPEC $cp1Applicative @(ST s) @_"
forall (@s) (@r) ($dApplicative :: Applicative (ST s)).
$fApplicativeReaderT_$cp1Applicative @(ST s) @r $dApplicative
= $fApplicativeReaderT_$s$fFunctorReaderT @s @r
"SPEC $cp1Monad @(ST s) @_"
forall (@s) (@r) ($dMonad :: Monad (ST s)).
$fMonadReaderT_$cp1Monad @(ST s) @r $dMonad
= $fApplicativeReaderT_$s$fApplicativeReaderT @s @r
"SPEC $cpure @(ST s) @_"
forall (@s) (@r) ($dApplicative :: Applicative (ST s)).
$fApplicativeReaderT_$cpure @(ST s) @r $dApplicative
= ($fApplicativeReaderT5 @s @r)
`cast` (forall (a :: <*>_N).
<a>_R
%<'Many>_N ->_R <r>_R %<'Many>_N ->_R Sym (N:ST[0] <s>_N <a>_R)
; Sym (N:ReaderT[0] <*>_N <r>_R <ST s>_R <a>_N)
:: Coercible
(forall {a}. a -> r -> STRep s a)
(forall {a}. a -> ReaderT r (ST s) a))
"SPEC $creturn @(ST s) @_"
forall (@s) (@r) ($dMonad :: Monad (ST s)).
$fMonadReaderT_$creturn @(ST s) @r $dMonad
= ($fApplicativeReaderT5 @s @r)
`cast` (forall (a :: <*>_N).
<a>_R
%<'Many>_N ->_R <r>_R %<'Many>_N ->_R Sym (N:ST[0] <s>_N <a>_R)
; Sym (N:ReaderT[0] <*>_N <r>_R <ST s>_R <a>_N)
:: Coercible
(forall {a}. a -> r -> STRep s a)
(forall {a}. a -> ReaderT r (ST s) a))
"SPEC $fApplicativeReaderT @(ST s) @_"
forall (@s) (@r) ($dApplicative :: Applicative (ST s)).
$fApplicativeReaderT @(ST s) @r $dApplicative
= $fApplicativeReaderT_$s$fApplicativeReaderT @s @r
"SPEC $fFunctorReaderT @(ST s) @_"
forall (@s) (@r) ($dFunctor :: Functor (ST s)).
$fFunctorReaderT @(ST s) @r $dFunctor
= $fApplicativeReaderT_$s$fFunctorReaderT @s @r
"SPEC $fMonadReaderT @(ST s) @_"
forall (@s) (@r) ($dMonad :: Monad (ST s)).
$fMonadReaderT @(ST s) @r $dMonad
= $fMonadAbstractIOSTReaderT_$s$fMonadReaderT @s @r
"USPEC useAbstractMonad @(ReaderT Int (ST s))"
forall (@s)
($dMonadAbstractIOST :: MonadAbstractIOST (ReaderT Int (ST s))).
useAbstractMonad @(ReaderT Int (ST s)) $dMonadAbstractIOST
= (useAbstractMonad1 @s)
`cast` (<Int>_R
%<'Many>_N ->_R <Int>_R %<'Many>_N ->_R Sym (N:ST[0] <s>_N <Int>_R)
; Sym (N:ReaderT[0] <*>_N <Int>_R <ST s>_R <Int>_N)
:: Coercible
(Int -> Int -> STRep s Int) (Int -> ReaderT Int (ST s) Int))
|
