lean2/tests/lean/run/blast_meta_bug.lean
Leonardo de Moura 54f2c0f254 feat(library/blast/forward): inst_simp should use the left-hand-side as a pattern (if none is provided by the user)
The motivation is to reduce the number of instances generated by ematching.

For example, given

   inv_inv:  forall a, (a⁻¹)⁻¹ = a

the new heuristic uses ((a⁻¹)⁻¹) as the pattern.
This matches the intuition that inv_inv should be used a simplification
rule.

The default pattern inference procedure would use (a⁻¹). This is bad
because it generates an infinite chain of instances whenever there is a
term (a⁻¹) in the proof state.
By using (a⁻¹), we get
   (a⁻¹)⁻¹ = a
Now that we have (a⁻¹)⁻¹, we can match again and generate
   ((a⁻¹)⁻¹)⁻¹ = a⁻¹
and so on
2015-12-31 20:20:39 -08:00

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constants {A : Type.{1}} (P : A → Prop) (Q : A → Prop)
definition H [forward] : ∀ a, (: P a :) → Exists Q := sorry
set_option blast.strategy "ematch"
example (a : A) : P a → Exists Q :=
by blast