Positive coverage: prove_via / relation-axiom

4 tests exercised this rule:

Source location: crates/formality-rust/src/prove/prove/test/eq_assumptions.rs:15

#[test]
fn test_a() {
    test_prove(
        Program::empty(),
        term("{} => {for<T, U> if {T = u32, U = Vec<T>} U = Vec<u32>}"),
    )
    .assert_ok(expect!["{Constraints { env: Env { variables: [], bias: Soundness, pending: [], allow_pending_outlives: false }, known_true: true, substitution: {} }}"]);
}

Source location: crates/formality-rust/src/prove/prove/test/eq_assumptions.rs:33

#[test]
fn test_normalize_assoc_ty() {
    test_prove(
        Program::empty(),
        term("{} => {for<T> if { <T as Iterator>::Item = u32 } <T as Iterator>::Item = u32}"),
    )
    .assert_ok(expect!["{Constraints { env: Env { variables: [], bias: Soundness, pending: [], allow_pending_outlives: false }, known_true: true, substitution: {} }}"]);
}

Source location: tests/projection.rs:36

#[test]
fn normalize_basic() {
    test_where_clause(
        NORMALIZE_BASIC,
        "forall<T> exists<U> {} => { <Vec<T> as Iterator>::Item = U }",
    )
    .assert_ok(expect_test::expect!["{Constraints { env: Env { variables: [!ty_1, ?ty_2], bias: Soundness, pending: [], allow_pending_outlives: false }, known_true: true, substitution: {?ty_2 => <Vec<!ty_1> as Iterator>::Item} }, Constraints { env: Env { variables: [!ty_1, ?ty_2], bias: Soundness, pending: [], allow_pending_outlives: false }, known_true: true, substitution: {?ty_2 => !ty_1} }}"]);

    test_where_clause(
        NORMALIZE_BASIC,
        "forall<T> {} => { Iterator(Vec<T>), <Vec<T> as Iterator>::Item = T }",
    )
    .assert_ok(expect_test::expect!["{Constraints { env: Env { variables: [!ty_1], bias: Soundness, pending: [], allow_pending_outlives: false }, known_true: true, substitution: {} }}"]);

    test_where_clause(
        NORMALIZE_BASIC,
        "forall<T> { Iterator(T), <T as Iterator>::Item = Foo } => { <T as Iterator>::Item = Foo }",
    ).assert_ok(
        expect_test::expect!["{Constraints { env: Env { variables: [!ty_1], bias: Soundness, pending: [], allow_pending_outlives: false }, known_true: true, substitution: {} }}"]
    );

    test_where_clause(
        NORMALIZE_BASIC,
        "forall<T> exists<U> { Iterator(T) } => { <T as Iterator>::Item = U }",
    )
    .assert_ok(expect_test::expect!["{Constraints { env: Env { variables: [!ty_1, ?ty_2], bias: Soundness, pending: [], allow_pending_outlives: false }, known_true: true, substitution: {?ty_2 => <!ty_1 as Iterator>::Item} }}"]);

    test_where_clause(
        NORMALIZE_BASIC,
        "forall<T> { Iterator(T) } => { <T as Iterator>::Item = <T as Iterator>::Item }",
    )
    .assert_ok(expect_test::expect!["{Constraints { env: Env { variables: [!ty_1], bias: Soundness, pending: [], allow_pending_outlives: false }, known_true: true, substitution: {} }}"]);

    test_where_clause(
        NORMALIZE_BASIC,
        "forall<T> exists<U> { Iterator(T) } => { <T as Iterator>::Item = <U as Iterator>::Item }",
    ).assert_ok(
    expect_test::expect!["{Constraints { env: Env { variables: [!ty_1, ?ty_2], bias: Soundness, pending: [], allow_pending_outlives: false }, known_true: true, substitution: {?ty_2 => !ty_1} }, Constraints { env: Env { variables: [!ty_1, ?ty_3, ?ty_2], bias: Soundness, pending: [], allow_pending_outlives: false }, known_true: true, substitution: {?ty_2 => Vec<<!ty_1 as Iterator>::Item>, ?ty_3 => <!ty_1 as Iterator>::Item} }}"]);
}

Source location: tests/well_formed_struct.rs:17

fn main() -> () {
    exists<'y> {
        let a: u32 = 22 _ u32;
        let f: Foo<'y> = Foo::<'y> { y: &'y a };
    }
}