CsumR

vstd_extra::resource::pcm::csum

Enum CsumR

pub enum CsumR<A, B> {
    Unit,
    Cinl(A),
    Cinr(B),
    CsumInvalid,
}

Expand description

Csum PCM

In modern Iris, it uses CMRA instead of PCM, which uses a core for every element instead of a unit element. Here we add a unit element to stick to the PCM definition.

Variants§

Unit

Cinl(A)

Cinr(B)

CsumInvalid

Implementations§

impl<A, B> CsumR<A, B>

pub fn arrow_Cinl_0(self) -> A

pub fn arrow_Cinr_0(self) -> B

Trait Implementations§

impl<A: PCM, B: PCM> PCM for CsumR<A, B>

open spec fn valid(self) -> bool

{
    match self {
        CsumR::Unit => true,
        CsumR::Cinl(a) => A::valid(a),
        CsumR::Cinr(b) => B::valid(b),
        CsumR::CsumInvalid => false,
    }
}

open spec fn op(self, other: Self) -> Self

{
    match (self, other) {
        (CsumR::Unit, x) => x,
        (x, CsumR::Unit) => x,
        (CsumR::Cinl(a1), CsumR::Cinl(a2)) => CsumR::Cinl(A::op(a1, a2)),
        (CsumR::Cinr(b1), CsumR::Cinr(b2)) => CsumR::Cinr(B::op(b1, b2)),
        _ => CsumR::CsumInvalid,
    }
}

open spec fn unit() -> Self

{ CsumR::Unit }

proof fn closed_under_incl(a: Self, b: Self)

proof fn commutative(a: Self, b: Self)

proof fn associative(a: Self, b: Self, c: Self)

proof fn op_unit(a: Self)

proof fn unit_valid()

Auto Trait Implementations§

impl<A, B> Freeze for CsumR<A, B>
where A: Freeze, B: Freeze,

impl<A, B> RefUnwindSafe for CsumR<A, B>
where A: RefUnwindSafe, B: RefUnwindSafe,

impl<A, B> Send for CsumR<A, B>
where A: Send, B: Send,

impl<A, B> Sync for CsumR<A, B>
where A: Sync, B: Sync,

impl<A, B> Unpin for CsumR<A, B>
where A: Unpin, B: Unpin,

impl<A, B> UnwindSafe for CsumR<A, B>
where A: UnwindSafe, B: UnwindSafe,

Blanket Implementations§

impl<T> Any for T
where T: 'static + ?Sized,

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

impl<T> Borrow<T> for T
where T: ?Sized,

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

impl<T> BorrowMut<T> for T
where T: ?Sized,

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

impl<T, VERUS_SPEC__A> FromSpec<T> for VERUS_SPEC__A
where VERUS_SPEC__A: From<T>,

fn obeys_from_spec() -> bool

fn from_spec(v: T) -> VERUS_SPEC__A

impl<T, U> Into<U> for T
where U: From<T>,

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

impl<T, VERUS_SPEC__A> IntoSpec<T> for VERUS_SPEC__A
where VERUS_SPEC__A: Into<T>,

fn obeys_into_spec() -> bool

fn into_spec(self) -> T

impl<T, U> IntoSpecImpl<U> for T
where U: From<T>,

fn obeys_into_spec() -> bool

fn into_spec(self) -> U

impl<T, U> TryFrom<U> for T
where U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.

impl<T, VERUS_SPEC__A> TryFromSpec<T> for VERUS_SPEC__A
where VERUS_SPEC__A: TryFrom<T>,

fn obeys_try_from_spec() -> bool

fn try_from_spec( v: T, ) -> Result<VERUS_SPEC__A, <VERUS_SPEC__A as TryFrom<T>>::Error>

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.

impl<T, VERUS_SPEC__A> TryIntoSpec<T> for VERUS_SPEC__A
where VERUS_SPEC__A: TryInto<T>,

fn obeys_try_into_spec() -> bool

fn try_into_spec(self) -> Result<T, <VERUS_SPEC__A as TryInto<T>>::Error>

impl<T, U> TryIntoSpecImpl<U> for T
where U: TryFrom<T>,

fn obeys_try_into_spec() -> bool

fn try_into_spec(self) -> Result<U, <U as TryFrom<T>>::Error>