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-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS
-- [traits]
import Base
open Primitives
namespace traits
/- Trait declaration: [traits::BoolTrait]
Source: 'src/traits.rs', lines 1:0-1:19 -/
structure BoolTrait (Self : Type) where
get_bool : Self → Result Bool
/- [traits::{bool}::get_bool]: forward function
Source: 'src/traits.rs', lines 12:4-12:30 -/
def Bool.get_bool (self : Bool) : Result Bool :=
Result.ret self
/- Trait implementation: [traits::{bool}]
Source: 'src/traits.rs', lines 11:0-11:23 -/
def traits.BoolTraitBoolInst : BoolTrait Bool := {
get_bool := Bool.get_bool
}
/- [traits::BoolTrait::ret_true]: forward function
Source: 'src/traits.rs', lines 6:4-6:30 -/
def BoolTrait.ret_true
{Self : Type} (self_clause : BoolTrait Self) (self : Self) : Result Bool :=
Result.ret true
/- [traits::test_bool_trait_bool]: forward function
Source: 'src/traits.rs', lines 17:0-17:44 -/
def test_bool_trait_bool (x : Bool) : Result Bool :=
do
let b ← Bool.get_bool x
if b
then BoolTrait.ret_true traits.BoolTraitBoolInst x
else Result.ret false
/- [traits::{core::option::Option<T>#1}::get_bool]: forward function
Source: 'src/traits.rs', lines 23:4-23:30 -/
def Option.get_bool (T : Type) (self : Option T) : Result Bool :=
match self with
| none => Result.ret false
| some t => Result.ret true
/- Trait implementation: [traits::{core::option::Option<T>#1}]
Source: 'src/traits.rs', lines 22:0-22:31 -/
def traits.BoolTraitcoreoptionOptionTInst (T : Type) : BoolTrait (Option T)
:= {
get_bool := Option.get_bool T
}
/- [traits::test_bool_trait_option]: forward function
Source: 'src/traits.rs', lines 31:0-31:54 -/
def test_bool_trait_option (T : Type) (x : Option T) : Result Bool :=
do
let b ← Option.get_bool T x
if b
then BoolTrait.ret_true (traits.BoolTraitcoreoptionOptionTInst T) x
else Result.ret false
/- [traits::test_bool_trait]: forward function
Source: 'src/traits.rs', lines 35:0-35:50 -/
def test_bool_trait
(T : Type) (BoolTraitTInst : BoolTrait T) (x : T) : Result Bool :=
BoolTraitTInst.get_bool x
/- Trait declaration: [traits::ToU64]
Source: 'src/traits.rs', lines 39:0-39:15 -/
structure ToU64 (Self : Type) where
to_u64 : Self → Result U64
/- [traits::{u64#2}::to_u64]: forward function
Source: 'src/traits.rs', lines 44:4-44:26 -/
def U64.to_u64 (self : U64) : Result U64 :=
Result.ret self
/- Trait implementation: [traits::{u64#2}]
Source: 'src/traits.rs', lines 43:0-43:18 -/
def traits.ToU64U64Inst : ToU64 U64 := {
to_u64 := U64.to_u64
}
/- [traits::{(A, A)#3}::to_u64]: forward function
Source: 'src/traits.rs', lines 50:4-50:26 -/
def Pair.to_u64
(A : Type) (ToU64AInst : ToU64 A) (self : (A × A)) : Result U64 :=
do
let (t, t0) := self
let i ← ToU64AInst.to_u64 t
let i0 ← ToU64AInst.to_u64 t0
i + i0
/- Trait implementation: [traits::{(A, A)#3}]
Source: 'src/traits.rs', lines 49:0-49:31 -/
def traits.ToU64TupleAAInst (A : Type) (ToU64AInst : ToU64 A) : ToU64 (A × A)
:= {
to_u64 := Pair.to_u64 A ToU64AInst
}
/- [traits::f]: forward function
Source: 'src/traits.rs', lines 55:0-55:36 -/
def f (T : Type) (ToU64TInst : ToU64 T) (x : (T × T)) : Result U64 :=
Pair.to_u64 T ToU64TInst x
/- [traits::g]: forward function
Source: 'src/traits.rs', lines 59:0-61:18 -/
def g
(T : Type) (ToU64TupleTTInst : ToU64 (T × T)) (x : (T × T)) : Result U64 :=
ToU64TupleTTInst.to_u64 x
/- [traits::h0]: forward function
Source: 'src/traits.rs', lines 66:0-66:24 -/
def h0 (x : U64) : Result U64 :=
U64.to_u64 x
/- [traits::Wrapper]
Source: 'src/traits.rs', lines 70:0-70:21 -/
structure Wrapper (T : Type) where
x : T
/- [traits::{traits::Wrapper<T>#4}::to_u64]: forward function
Source: 'src/traits.rs', lines 75:4-75:26 -/
def Wrapper.to_u64
(T : Type) (ToU64TInst : ToU64 T) (self : Wrapper T) : Result U64 :=
ToU64TInst.to_u64 self.x
/- Trait implementation: [traits::{traits::Wrapper<T>#4}]
Source: 'src/traits.rs', lines 74:0-74:35 -/
def traits.ToU64traitsWrapperTInst (T : Type) (ToU64TInst : ToU64 T) : ToU64
(Wrapper T) := {
to_u64 := Wrapper.to_u64 T ToU64TInst
}
/- [traits::h1]: forward function
Source: 'src/traits.rs', lines 80:0-80:33 -/
def h1 (x : Wrapper U64) : Result U64 :=
Wrapper.to_u64 U64 traits.ToU64U64Inst x
/- [traits::h2]: forward function
Source: 'src/traits.rs', lines 84:0-84:41 -/
def h2 (T : Type) (ToU64TInst : ToU64 T) (x : Wrapper T) : Result U64 :=
Wrapper.to_u64 T ToU64TInst x
/- Trait declaration: [traits::ToType]
Source: 'src/traits.rs', lines 88:0-88:19 -/
structure ToType (Self T : Type) where
to_type : Self → Result T
/- [traits::{u64#5}::to_type]: forward function
Source: 'src/traits.rs', lines 93:4-93:28 -/
def U64.to_type (self : U64) : Result Bool :=
Result.ret (self > 0#u64)
/- Trait implementation: [traits::{u64#5}]
Source: 'src/traits.rs', lines 92:0-92:25 -/
def traits.ToTypeU64BoolInst : ToType U64 Bool := {
to_type := U64.to_type
}
/- Trait declaration: [traits::OfType]
Source: 'src/traits.rs', lines 98:0-98:16 -/
structure OfType (Self : Type) where
of_type : forall (T : Type) (ToTypeTSelfInst : ToType T Self), T → Result
Self
/- [traits::h3]: forward function
Source: 'src/traits.rs', lines 104:0-104:50 -/
def h3
(T1 T2 : Type) (OfTypeT1Inst : OfType T1) (ToTypeT2T1Inst : ToType T2 T1)
(y : T2) :
Result T1
:=
OfTypeT1Inst.of_type T2 ToTypeT2T1Inst y
/- Trait declaration: [traits::OfTypeBis]
Source: 'src/traits.rs', lines 109:0-109:36 -/
structure OfTypeBis (Self T : Type) where
ToTypeTSelfInst : ToType T Self
of_type : T → Result Self
/- [traits::h4]: forward function
Source: 'src/traits.rs', lines 118:0-118:57 -/
def h4
(T1 T2 : Type) (OfTypeBisT1T2Inst : OfTypeBis T1 T2) (ToTypeT2T1Inst : ToType
T2 T1) (y : T2) :
Result T1
:=
OfTypeBisT1T2Inst.of_type y
/- [traits::TestType]
Source: 'src/traits.rs', lines 122:0-122:22 -/
structure TestType (T : Type) where
_0 : T
/- [traits::{traits::TestType<T>#6}::test::TestType1]
Source: 'src/traits.rs', lines 127:8-127:24 -/
structure TestType.test.TestType1 where
_0 : U64
/- Trait declaration: [traits::{traits::TestType<T>#6}::test::TestTrait]
Source: 'src/traits.rs', lines 128:8-128:23 -/
structure TestType.test.TestTrait (Self : Type) where
test : Self → Result Bool
/- [traits::{traits::TestType<T>#6}::test::{traits::{traits::TestType<T>#6}::test::TestType1}::test]: forward function
Source: 'src/traits.rs', lines 139:12-139:34 -/
def TestType.test.TestType1.test
(self : TestType.test.TestType1) : Result Bool :=
Result.ret (self._0 > 1#u64)
/- Trait implementation: [traits::{traits::TestType<T>#6}::test::{traits::{traits::TestType<T>#6}::test::TestType1}]
Source: 'src/traits.rs', lines 138:8-138:36 -/
def traits.TestType.test.TestTraittraitstraitsTestTypeTtestTestType1Inst :
TestType.test.TestTrait TestType.test.TestType1 := {
test := TestType.test.TestType1.test
}
/- [traits::{traits::TestType<T>#6}::test]: forward function
Source: 'src/traits.rs', lines 126:4-126:36 -/
def TestType.test
(T : Type) (ToU64TInst : ToU64 T) (self : TestType T) (x : T) :
Result Bool
:=
do
let x0 ← ToU64TInst.to_u64 x
if x0 > 0#u64
then TestType.test.TestType1.test { _0 := 0#u64 }
else Result.ret false
/- [traits::BoolWrapper]
Source: 'src/traits.rs', lines 150:0-150:22 -/
structure BoolWrapper where
_0 : Bool
/- [traits::{traits::BoolWrapper#7}::to_type]: forward function
Source: 'src/traits.rs', lines 156:4-156:25 -/
def BoolWrapper.to_type
(T : Type) (ToTypeBoolTInst : ToType Bool T) (self : BoolWrapper) :
Result T
:=
ToTypeBoolTInst.to_type self._0
/- Trait implementation: [traits::{traits::BoolWrapper#7}]
Source: 'src/traits.rs', lines 152:0-152:33 -/
def traits.ToTypetraitsBoolWrapperTInst (T : Type) (ToTypeBoolTInst : ToType
Bool T) : ToType BoolWrapper T := {
to_type := BoolWrapper.to_type T ToTypeBoolTInst
}
/- [traits::WithConstTy::LEN2]
Source: 'src/traits.rs', lines 164:4-164:21 -/
def with_const_ty_len2_body : Result Usize := Result.ret 32#usize
def with_const_ty_len2_c : Usize :=
eval_global with_const_ty_len2_body (by simp)
/- Trait declaration: [traits::WithConstTy]
Source: 'src/traits.rs', lines 161:0-161:39 -/
structure WithConstTy (Self : Type) (LEN : Usize) where
LEN1 : Usize
LEN2 : Usize
V : Type
W : Type
W_clause_0 : ToU64 W
f : W → Array U8 LEN → Result W
/- [traits::{bool#8}::LEN1]
Source: 'src/traits.rs', lines 175:4-175:21 -/
def bool_len1_body : Result Usize := Result.ret 12#usize
def bool_len1_c : Usize := eval_global bool_len1_body (by simp)
/- [traits::{bool#8}::f]: merged forward/backward function
(there is a single backward function, and the forward function returns ())
Source: 'src/traits.rs', lines 180:4-180:39 -/
def Bool.f (i : U64) (a : Array U8 32#usize) : Result U64 :=
Result.ret i
/- Trait implementation: [traits::{bool#8}]
Source: 'src/traits.rs', lines 174:0-174:29 -/
def traits.WithConstTyBool32Inst : WithConstTy Bool 32#usize := {
LEN1 := bool_len1_c
LEN2 := with_const_ty_len2_c
V := U8
W := U64
W_clause_0 := traits.ToU64U64Inst
f := Bool.f
}
/- [traits::use_with_const_ty1]: forward function
Source: 'src/traits.rs', lines 183:0-183:75 -/
def use_with_const_ty1
(H : Type) (LEN : Usize) (WithConstTyHLENInst : WithConstTy H LEN) :
Result Usize
:=
let i := WithConstTyHLENInst.LEN1
Result.ret i
/- [traits::use_with_const_ty2]: forward function
Source: 'src/traits.rs', lines 187:0-187:73 -/
def use_with_const_ty2
(H : Type) (LEN : Usize) (WithConstTyHLENInst : WithConstTy H LEN)
(w : WithConstTyHLENInst.W) :
Result Unit
:=
Result.ret ()
/- [traits::use_with_const_ty3]: forward function
Source: 'src/traits.rs', lines 189:0-189:80 -/
def use_with_const_ty3
(H : Type) (LEN : Usize) (WithConstTyHLENInst : WithConstTy H LEN)
(x : WithConstTyHLENInst.W) :
Result U64
:=
WithConstTyHLENInst.W_clause_0.to_u64 x
/- [traits::test_where1]: forward function
Source: 'src/traits.rs', lines 193:0-193:40 -/
def test_where1 (T : Type) (_x : T) : Result Unit :=
Result.ret ()
/- [traits::test_where2]: forward function
Source: 'src/traits.rs', lines 194:0-194:57 -/
def test_where2
(T : Type) (WithConstTyT32Inst : WithConstTy T 32#usize) (_x : U32) :
Result Unit
:=
Result.ret ()
/- Trait declaration: [traits::ParentTrait0]
Source: 'src/traits.rs', lines 200:0-200:22 -/
structure ParentTrait0 (Self : Type) where
W : Type
get_name : Self → Result String
get_w : Self → Result W
/- Trait declaration: [traits::ParentTrait1]
Source: 'src/traits.rs', lines 205:0-205:22 -/
structure ParentTrait1 (Self : Type) where
/- Trait declaration: [traits::ChildTrait]
Source: 'src/traits.rs', lines 206:0-206:49 -/
structure ChildTrait (Self : Type) where
ParentTrait0SelfInst : ParentTrait0 Self
ParentTrait1SelfInst : ParentTrait1 Self
/- [traits::test_child_trait1]: forward function
Source: 'src/traits.rs', lines 209:0-209:56 -/
def test_child_trait1
(T : Type) (ChildTraitTInst : ChildTrait T) (x : T) : Result String :=
ChildTraitTInst.ParentTrait0SelfInst.get_name x
/- [traits::test_child_trait2]: forward function
Source: 'src/traits.rs', lines 213:0-213:54 -/
def test_child_trait2
(T : Type) (ChildTraitTInst : ChildTrait T) (x : T) :
Result ChildTraitTInst.ParentTrait0SelfInst.W
:=
ChildTraitTInst.ParentTrait0SelfInst.get_w x
/- [traits::order1]: forward function
Source: 'src/traits.rs', lines 219:0-219:59 -/
def order1
(T U : Type) (ParentTrait0TInst : ParentTrait0 T) (ParentTrait0UInst :
ParentTrait0 U) :
Result Unit
:=
Result.ret ()
/- Trait declaration: [traits::ChildTrait1]
Source: 'src/traits.rs', lines 222:0-222:35 -/
structure ChildTrait1 (Self : Type) where
ParentTrait1SelfInst : ParentTrait1 Self
/- Trait implementation: [traits::{usize#9}]
Source: 'src/traits.rs', lines 224:0-224:27 -/
def traits.ParentTrait1UsizeInst : ParentTrait1 Usize := {
}
/- Trait implementation: [traits::{usize#10}]
Source: 'src/traits.rs', lines 225:0-225:26 -/
def traits.ChildTrait1UsizeInst : ChildTrait1 Usize := {
ParentTrait1SelfInst := traits.ParentTrait1UsizeInst
}
/- Trait declaration: [traits::Iterator]
Source: 'src/traits.rs', lines 229:0-229:18 -/
structure Iterator (Self : Type) where
Item : Type
/- Trait declaration: [traits::IntoIterator]
Source: 'src/traits.rs', lines 233:0-233:22 -/
structure IntoIterator (Self : Type) where
Item : Type
IntoIter : Type
IntoIter_clause_0 : Iterator IntoIter
into_iter : Self → Result IntoIter
/- Trait declaration: [traits::FromResidual]
Source: 'src/traits.rs', lines 250:0-250:21 -/
structure FromResidual (Self T : Type) where
/- Trait declaration: [traits::Try]
Source: 'src/traits.rs', lines 246:0-246:48 -/
structure Try (Self : Type) where
Residual : Type
FromResidualSelftraitsTrySelfResidualInst : FromResidual Self Residual
/- Trait declaration: [traits::WithTarget]
Source: 'src/traits.rs', lines 252:0-252:20 -/
structure WithTarget (Self : Type) where
Target : Type
/- Trait declaration: [traits::ParentTrait2]
Source: 'src/traits.rs', lines 256:0-256:22 -/
structure ParentTrait2 (Self : Type) where
U : Type
U_clause_0 : WithTarget U
/- Trait declaration: [traits::ChildTrait2]
Source: 'src/traits.rs', lines 260:0-260:35 -/
structure ChildTrait2 (Self : Type) where
ParentTrait2SelfInst : ParentTrait2 Self
convert : ParentTrait2SelfInst.U → Result
ParentTrait2SelfInst.U_clause_0.Target
/- Trait implementation: [traits::{u32#11}]
Source: 'src/traits.rs', lines 264:0-264:23 -/
def traits.WithTargetU32Inst : WithTarget U32 := {
Target := U32
}
/- Trait implementation: [traits::{u32#12}]
Source: 'src/traits.rs', lines 268:0-268:25 -/
def traits.ParentTrait2U32Inst : ParentTrait2 U32 := {
U := U32
U_clause_0 := traits.WithTargetU32Inst
}
/- [traits::{u32#13}::convert]: forward function
Source: 'src/traits.rs', lines 273:4-273:29 -/
def U32.convert (x : U32) : Result U32 :=
Result.ret x
/- Trait implementation: [traits::{u32#13}]
Source: 'src/traits.rs', lines 272:0-272:24 -/
def traits.ChildTrait2U32Inst : ChildTrait2 U32 := {
ParentTrait2SelfInst := traits.ParentTrait2U32Inst
convert := U32.convert
}
/- Trait declaration: [traits::CFnOnce]
Source: 'src/traits.rs', lines 286:0-286:23 -/
structure CFnOnce (Self Args : Type) where
Output : Type
call_once : Self → Args → Result Output
/- Trait declaration: [traits::CFnMut]
Source: 'src/traits.rs', lines 292:0-292:37 -/
structure CFnMut (Self Args : Type) where
CFnOnceSelfArgsInst : CFnOnce Self Args
call_mut : Self → Args → Result CFnOnceSelfArgsInst.Output
call_mut_back : Self → Args → CFnOnceSelfArgsInst.Output → Result Self
/- Trait declaration: [traits::CFn]
Source: 'src/traits.rs', lines 296:0-296:33 -/
structure CFn (Self Args : Type) where
CFnMutSelfArgsInst : CFnMut Self Args
call_mut : Self → Args → Result
CFnMutSelfArgsInst.CFnOnceSelfArgsInst.Output
end traits
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