lean2/tests/lean/sum2.lean.expected.out
Leonardo de Moura d4b08fcf96 feat(library/elaborator): be 'lazy' when normalizing terms in the elaborator
Unification constraints of the form

         ctx |- ?m[inst:i v] == T

         and

         ctx |- (?m a1 ... an) == T

are delayed by elaborator because the produce case-splits.
On the other hand, the step that puts terms is head-normal form is eagerly applied.
This is a bad idea for constraints like the two above. The elaborator will put T in head normal form
before executing process_meta_app and process_meta_inst. This is just wasted work, and creates
fully unfolded terms for solvers and provers.

The new test demonstrates the problem. In this test, we mark several terms as non-opaque.
Without this commit, the produced goal is a huge term.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-02-06 21:08:00 -08:00

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Set: pp::colors
Set: pp::unicode
Imported 'macros'
Imported 'pair'
Imported 'subtype'
Imported 'optional'
Using: subtype
Using: optional
Defined: sum_pred
Defined: sum
Proved: sum::inl_pred
Proved: sum::inr_pred
Proved: sum::inhabl
Proved: sum::inhabr
Defined: sum::inl
Defined: sum::inr
Proved: sum::inl_inj
Proved: sum::inr_inj
Proved: sum::distinct
sum2.lean:88:0: error: invalid tactic command, unexpected end of file
Proof state:
A :
(Type U),
B :
(Type U),
n :
sum A B,
pred :
(proj1 (subtype::rep n) = optional::none) ≠ (proj2 (subtype::rep n) = optional::none)
⊢ (∃ a : A, n = sum::inl a B) (∃ b : B, n = sum::inr A b)