Partly revert micromega parsing using typeclasses.

Typeclasses resolution is not used anymore for lia.

Typeclasses resolution is still used by lra but only to access a
database of declared constants.

3 files changed, 51 insertions, 11 deletions

diff --git a/test-suite/micromega/bug_10158.v b/test-suite/micromega/bug_10158.v
new file mode 100644
index 0000000000..2c8f798f12
--- /dev/null
+++ b/test-suite/micromega/bug_10158.v
@@ -0,0 +1,48 @@
+Require Import ZArith_base.
+Require Import Coq.micromega.Lia.
+
+Open Scope Z_scope.
+
+Fixpoint fib (n: nat) : Z :=
+  match n with
+  | O => 1
+  | S O => 1
+  | S (S n as p) => fib p + fib n
+  end.
+
+Axiom fib_47_computed: fib 47 = 2971215073.
+
+Lemma fib_bound:
+  fib 47 < 2 ^ 32.
+Proof.
+  pose proof fib_47_computed.
+  lia.
+Qed.
+
+Require Import Reals.
+Require Import Coq.micromega.Lra.
+
+Open Scope R_scope.
+
+Fixpoint fibr (n: nat) : R :=
+  match n with
+  | O => 1
+  | S O => 1
+  | S (S n as p) => fibr p + fibr n
+  end.
+
+Axiom fibr_47_computed: fibr 47 = 2971215073.
+
+Lemma fibr_bound:
+  fibr 47 < 2 ^ 32.
+Proof.
+  pose proof fibr_47_computed.
+  lra.
+Qed.
+
+Lemma fibr_bound':
+  fibr 47 < IZR (Z.pow_pos 2  32).
+Proof.
+  pose proof fibr_47_computed.
+  lra.
+Qed.
diff --git a/test-suite/micromega/rsyntax.v b/test-suite/micromega/rsyntax.v
index 02b98b562f..f02d93f911 100644
--- a/test-suite/micromega/rsyntax.v
+++ b/test-suite/micromega/rsyntax.v
@@ -57,15 +57,7 @@ Require Import Lia.
 
 Goal ( 1 ^ (2 + 2) = 1)%Z.
 Proof.
-  Fail lia.
-  reflexivity.
-Qed.
-
-Instance DZplus : DeclaredConstant Z.add := {}.
-
-Goal ( 1 ^ (2 + 2) = 1)%Z.
-Proof.
-  lia.
+  lia. (* exponent is a constant expr *)
 Qed.
 
 
diff --git a/test-suite/output/MExtraction.v b/test-suite/output/MExtraction.v
index 7429a521b3..c0ef9b392d 100644
--- a/test-suite/output/MExtraction.v
+++ b/test-suite/output/MExtraction.v
@@ -7,8 +7,8 @@ Require Import QMicromega.
 Require Import RMicromega.
 
 Recursive Extraction
-           Tauto.mapX Tauto.foldA Tauto.collect_annot Tauto.ids_of_formula Tauto.map_bformula
-           ZMicromega.cnfZ ZMicromega.bound_problem_fr QMicromega.cnfQ
+Tauto.mapX Tauto.foldA Tauto.collect_annot Tauto.ids_of_formula Tauto.map_bformula
+           ZMicromega.cnfZ ZMicromega.Zeval_const ZMicromega.bound_problem_fr QMicromega.cnfQ
            List.map simpl_cone (*map_cone  indexes*)
            denorm Qpower vm_add
    normZ normQ normQ n_of_Z N.of_nat ZTautoChecker ZWeakChecker QTautoChecker RTautoChecker find.