Negative coverage: prove_wc / implies / premise prove_wc(decls, env, (assumptions, p1), p2) => c

Premise at line 43. Observed failure causes: failed_judgment.

3 tests failed proving this premise:

Source location: crates/formality-rust/src/prove/prove/test/eq_assumptions.rs:41

#[test]
fn test_normalize_assoc_ty_existential0() {
    test_prove(
        Program::empty(),
        term("exists<A> {} => {for<T> if { <T as Iterator>::Item = u32 } <A as Iterator>::Item = u32}"),
    ).assert_err(
    expect![[r#"
        crates/formality-rust/src/prove/prove/prove/prove_via.rs:9:1: no applicable rules for prove_via { goal: <?ty_0 as Iterator>::Item = u32, via: <!ty_1 as Iterator>::Item = u32, assumptions: {<!ty_1 as Iterator>::Item = u32}, env: Env { variables: [?ty_0, !ty_1], bias: Soundness, pending: [], allow_pending_outlives: false } }

        the rule "existential-nonvar" at (prove_eq.rs) failed because
          pattern `None` did not match value `Some(!ty_1)`

        the rule "existential-universal" at (prove_eq.rs) failed because
          condition evaluated to false: `env.universe(p) < env.universe(v)`

        the rule "existential-nonvar" at (prove_eq.rs) failed because
          pattern `None` did not match value `Some(!ty_1)`

        the rule "existential-universal" at (prove_eq.rs) failed because
          condition evaluated to false: `env.universe(p) < env.universe(v)`

        the rule "normalize-via-impl" at (prove_normalize.rs) failed because
          expression evaluated to an empty collection: `decls.alias_eq_decls(&a.name)`

        crates/formality-rust/src/prove/prove/prove/prove_via.rs:9:1: no applicable rules for prove_via { goal: <!ty_0 as Iterator>::Item = <?ty_1 as Iterator>::Item, via: <!ty_0 as Iterator>::Item = u32, assumptions: {<!ty_0 as Iterator>::Item = u32}, env: Env { variables: [?ty_1, !ty_0], bias: Soundness, pending: [], allow_pending_outlives: false } }

        crates/formality-rust/src/prove/prove/prove/prove_via.rs:9:1: no applicable rules for prove_via { goal: !ty_0 = ?ty_1, via: <!ty_0 as Iterator>::Item = u32, assumptions: {<!ty_0 as Iterator>::Item = u32}, env: Env { variables: [?ty_1, !ty_0], bias: Soundness, pending: [], allow_pending_outlives: false } }

        the rule "existential-nonvar" at (prove_eq.rs) failed because
          pattern `None` did not match value `Some(!ty_0)`

        the rule "existential-universal" at (prove_eq.rs) failed because
          condition evaluated to false: `env.universe(p) < env.universe(v)`

        crates/formality-rust/src/prove/prove/prove/prove_normalize.rs:55:1: no applicable rules for prove_normalize_via { goal: ?ty_1, via: <!ty_0 as Iterator>::Item = u32, assumptions: {<!ty_0 as Iterator>::Item = u32}, env: Env { variables: [?ty_1, !ty_0], bias: Soundness, pending: [], allow_pending_outlives: false } }

        crates/formality-rust/src/prove/prove/prove/prove_via.rs:9:1: no applicable rules for prove_via { goal: u32 = <?ty_1 as Iterator>::Item, via: <!ty_0 as Iterator>::Item = u32, assumptions: {<!ty_0 as Iterator>::Item = u32}, env: Env { variables: [?ty_1, !ty_0], bias: Soundness, pending: [], allow_pending_outlives: false } }

        the rule "existential-nonvar" at (prove_eq.rs) failed because
          pattern `None` did not match value `Some(!ty_0)`

        the rule "existential-universal" at (prove_eq.rs) failed because
          condition evaluated to false: `env.universe(p) < env.universe(v)`

        the rule "existential-nonvar" at (prove_eq.rs) failed because
          pattern `None` did not match value `Some(!ty_0)`

        the rule "existential-universal" at (prove_eq.rs) failed because
          condition evaluated to false: `env.universe(p) < env.universe(v)`

        the rule "normalize-via-impl" at (prove_normalize.rs) failed because
          expression evaluated to an empty collection: `decls.alias_eq_decls(&a.name)`

        crates/formality-rust/src/prove/prove/prove/prove_via.rs:9:1: no applicable rules for prove_via { goal: ?ty_1 = !ty_0, via: <!ty_0 as Iterator>::Item = u32, assumptions: {<!ty_0 as Iterator>::Item = u32}, env: Env { variables: [?ty_1, !ty_0], bias: Soundness, pending: [], allow_pending_outlives: false } }

        the rule "existential-nonvar" at (prove_eq.rs) failed because
          pattern `None` did not match value `Some(!ty_0)`

        the rule "existential-universal" at (prove_eq.rs) failed because
          condition evaluated to false: `env.universe(p) < env.universe(v)`

        crates/formality-rust/src/prove/prove/prove/prove_normalize.rs:55:1: no applicable rules for prove_normalize_via { goal: ?ty_1, via: <!ty_0 as Iterator>::Item = u32, assumptions: {<!ty_0 as Iterator>::Item = u32}, env: Env { variables: [?ty_1, !ty_0], bias: Soundness, pending: [], allow_pending_outlives: false } }

        the rule "existential-nonvar" at (prove_eq.rs) failed because
          pattern `None` did not match value `Some(!ty_0)`

        the rule "existential-universal" at (prove_eq.rs) failed because
          condition evaluated to false: `env.universe(p) < env.universe(v)`

        the rule "existential-nonvar" at (prove_eq.rs) failed because
          pattern `None` did not match value `Some(!ty_0)`

        the rule "existential-universal" at (prove_eq.rs) failed because
          condition evaluated to false: `env.universe(p) < env.universe(v)`

        the rule "normalize-via-impl" at (prove_normalize.rs) failed because
          expression evaluated to an empty collection: `decls.alias_eq_decls(&a.name)`"#]]);
}

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

#[test]
fn not_partial_eq_implies_eq() {
    let goal: Wc = term("for<T> if {PartialEq(T)} Eq(T)");
    prove(decls(), (), (), goal)
    .assert_err(
    expect![[r#"
        crates/formality-rust/src/prove/prove/prove/prove_via.rs:9:1: no applicable rules for prove_via { goal: Eq(!ty_1), via: PartialEq(!ty_1), assumptions: {PartialEq(!ty_1)}, env: Env { variables: [!ty_1], bias: Soundness, pending: [], allow_pending_outlives: false } }

        crates/formality-rust/src/prove/prove/prove/prove_via.rs:9:1: no applicable rules for prove_via { goal: Eq(!ty_1), via: PartialEq(?ty_2), assumptions: {PartialEq(!ty_1)}, env: Env { variables: [!ty_1, ?ty_2], bias: Soundness, pending: [], allow_pending_outlives: false } }"#]]);
}

Source location: crates/formality-rust/src/prove/prove/test/eq_partial_eq.rs:44

#[test]
fn universals_not_eq() {
    let goal: Wc = term("for<T, U> if {Eq(T)} PartialEq(U)");
    prove(decls(), (), (), goal)
    .assert_err(
    expect![[r#"
        crates/formality-rust/src/prove/prove/prove/prove_via.rs:9:1: no applicable rules for prove_via { goal: PartialEq(!ty_2), via: Eq(!ty_1), assumptions: {Eq(!ty_1)}, env: Env { variables: [!ty_1, !ty_2], bias: Soundness, pending: [], allow_pending_outlives: false } }

        crates/formality-rust/src/prove/prove/prove/prove_via.rs:9:1: no applicable rules for prove_via { goal: !ty_0 = !ty_1, via: Eq(!ty_0), assumptions: {Eq(!ty_0)}, env: Env { variables: [!ty_0, !ty_1], bias: Soundness, pending: [], allow_pending_outlives: false } }

        crates/formality-rust/src/prove/prove/prove/prove_normalize.rs:55:1: no applicable rules for prove_normalize_via { goal: !ty_0, via: Eq(!ty_0), assumptions: {Eq(!ty_0)}, env: Env { variables: [!ty_0, !ty_1], bias: Soundness, pending: [], allow_pending_outlives: false } }

        crates/formality-rust/src/prove/prove/prove/prove_normalize.rs:55:1: no applicable rules for prove_normalize_via { goal: !ty_1, via: Eq(!ty_0), assumptions: {Eq(!ty_0)}, env: Env { variables: [!ty_0, !ty_1], bias: Soundness, pending: [], allow_pending_outlives: false } }

        crates/formality-rust/src/prove/prove/prove/prove_via.rs:9:1: no applicable rules for prove_via { goal: Eq(!ty_1), via: PartialEq(?ty_2), assumptions: {Eq(!ty_0)}, env: Env { variables: [!ty_0, !ty_1, ?ty_2], bias: Soundness, pending: [], allow_pending_outlives: false } }"#]]);
}