diff --git a/erasure-plugin/_PluginProject.in b/erasure-plugin/_PluginProject.in
index 1317144e6..2c2d2a205 100644
--- a/erasure-plugin/_PluginProject.in
+++ b/erasure-plugin/_PluginProject.in
@@ -126,6 +126,8 @@ src/eCoInductiveToInductive.mli
 src/eCoInductiveToInductive.ml
 src/eReorderCstrs.mli
 src/eReorderCstrs.ml
+src/eRemapInductives.mli
+src/eRemapInductives.ml
 src/eUnboxing.mli
 src/eUnboxing.ml
 src/eTransform.mli
diff --git a/erasure-plugin/src/g_metarocq_erasure.mlg b/erasure-plugin/src/g_metarocq_erasure.mlg
index 828f18c0d..d67e0b9b6 100644
--- a/erasure-plugin/src/g_metarocq_erasure.mlg
+++ b/erasure-plugin/src/g_metarocq_erasure.mlg
@@ -58,7 +58,8 @@ let make_erasure_config config =
   { enable_unsafe = if config.unsafe then all_unsafe_passes else no_unsafe_passes ;
     enable_typed_erasure = config.typed;
     dearging_config = default_dearging_config;
-    inlined_constants = Kernames.KernameSet.empty }
+    inlined_constants = Kernames.KernameSet.empty;
+    extracted_inductives = [] }
 
 let time_opt config str fn arg =
   if config.time then
diff --git a/erasure-plugin/src/metarocq_erasure_plugin.mlpack b/erasure-plugin/src/metarocq_erasure_plugin.mlpack
index d1e01e410..3240ebda7 100644
--- a/erasure-plugin/src/metarocq_erasure_plugin.mlpack
+++ b/erasure-plugin/src/metarocq_erasure_plugin.mlpack
@@ -68,6 +68,7 @@ EInlineProjections
 EConstructorsAsBlocks
 ECoInductiveToInductive
 EReorderCstrs
+ERemapInductives
 EUnboxing
 EProgram
 OptimizePropDiscr
diff --git a/erasure-plugin/theories/ETransform.v b/erasure-plugin/theories/ETransform.v
index c82142676..80dec8631 100644
--- a/erasure-plugin/theories/ETransform.v
+++ b/erasure-plugin/theories/ETransform.v
@@ -1159,4 +1159,4 @@ Instance optional_self_transformation_ext {env term eval} activate tr extends :
   TransformExt.t (@optional_self_transform env term eval activate tr) extends extends.
 Proof.
   red; intros. destruct activate; cbn in * => //. now apply H.
-Qed.
\ No newline at end of file
+Qed.
diff --git a/erasure-plugin/theories/Erasure.v b/erasure-plugin/theories/Erasure.v
index 17898a2b3..8a3b91b6d 100644
--- a/erasure-plugin/theories/Erasure.v
+++ b/erasure-plugin/theories/Erasure.v
@@ -6,7 +6,7 @@ From MetaRocq.Template Require Import EtaExpand TemplateProgram.
 From MetaRocq.PCUIC Require PCUICAst PCUICAstUtils PCUICProgram.
 From MetaRocq.SafeChecker Require Import PCUICErrors PCUICWfEnvImpl.
 From MetaRocq.Erasure Require EAstUtils ErasureFunction ErasureCorrectness EPretty Extract.
-From MetaRocq.Erasure Require Import EProgram EInlining EBeta.
+From MetaRocq.Erasure Require Import EProgram EInlining EBeta ERemapInductives.
 From MetaRocq.ErasurePlugin Require Import ETransform.
 
 Import PCUICProgram.
@@ -36,13 +36,15 @@ Record unsafe_passes :=
   { cofix_to_lazy : bool;
     inlining : bool;
     unboxing : bool;
+    inductives_extraction : bool;
     betared : bool }.
 
 Record erasure_configuration := {
   enable_unsafe : unsafe_passes;
   enable_typed_erasure : bool;
   dearging_config : dearging_config;
-  inlined_constants : KernameSet.t
+  inlined_constants : KernameSet.t;
+  extracted_inductives : extract_inductives;
   }.
 
 Definition default_dearging_config :=
@@ -54,7 +56,8 @@ Definition default_dearging_config :=
 Definition make_unsafe_passes b :=
   {| cofix_to_lazy := b;
      inlining := b;
-     unboxing := b;
+    unboxing := b;
+    inductives_extraction := b;
      betared := b |}.
 
 Definition no_unsafe_passes := make_unsafe_passes false.
@@ -66,21 +69,25 @@ Definition all_unsafe_passes := make_unsafe_passes true.
 Definition default_unsafe_passes :=
   {| cofix_to_lazy := true;
       inlining := true;
-      unboxing := false;
+    unboxing := false;
+    inductives_extraction := true;
       betared := true |}.
 
 Definition default_erasure_config :=
   {| enable_unsafe := default_unsafe_passes;
      dearging_config := default_dearging_config;
      enable_typed_erasure := true;
-     inlined_constants := KernameSet.empty |}.
+    inlined_constants := KernameSet.empty;
+    extracted_inductives := [] |}.
 
 (* This runs only the verified phases without the typed erasure and "fast" remove params *)
 Definition safe_erasure_config :=
   {| enable_unsafe := no_unsafe_passes;
      enable_typed_erasure := false;
      dearging_config := default_dearging_config;
-     inlined_constants := KernameSet.empty |}.
+     inlined_constants := KernameSet.empty;
+     extracted_inductives := [];
+  |}.
 
 Axiom assume_welltyped_template_program_expansion :
   forall p (wtp : ∥ wt_template_program_env p ∥),
@@ -131,6 +138,9 @@ Program Definition optional_unsafe_transforms econf :=
   ETransform.optional_self_transform passes.(inlining)
       (inline_transformation efl final_wcbv_flags econf.(inlined_constants) ▷
        forget_inlining_info_transformation efl final_wcbv_flags) ▷
+  ETransform.optional_self_transform passes.(inductives_extraction)
+      (extract_inductive_transformation efl final_wcbv_flags econf.(extracted_inductives) ▷
+       forget_inductive_extraction_info_transformation efl final_wcbv_flags) ▷
   (* Heuristically do it twice for more beta-normal terms *)
   ETransform.optional_self_transform passes.(betared)
     (betared_transformation efl final_wcbv_flags ▷
@@ -145,6 +155,9 @@ Qed.
 Next Obligation.
   destruct (enable_unsafe econf) as [[] [] [] []]; cbn in * => //; intuition auto.
 Qed.
+Next Obligation.
+  destruct (enable_unsafe econf) as [[] [] [] [] []]; cbn in * => //; intuition auto.
+Qed.
 
 Program Definition verified_lambdabox_pipeline {guard : abstract_guard_impl}
   (efl := EWellformed.all_env_flags)
@@ -1119,7 +1132,8 @@ Definition typed_erasure_config :=
   {| enable_unsafe := no_unsafe_passes;
       dearging_config := default_dearging_config;
       enable_typed_erasure := true;
-      inlined_constants := KernameSet.empty |}.
+    inlined_constants := KernameSet.empty;
+    extracted_inductives := [] |}.
 
 (* TODO: Parameterize by a configuration for dearging, allowing to, e.g., override masks. *)
 Program Definition typed_erase_and_print_template_program (p : Ast.Env.program)
diff --git a/erasure/_RocqProject.in b/erasure/_RocqProject.in
index 636e42f65..208b51a58 100644
--- a/erasure/_RocqProject.in
+++ b/erasure/_RocqProject.in
@@ -43,6 +43,7 @@ theories/EWcbvEvalCstrsAsBlocksFixLambdaInd.v
 theories/ECoInductiveToInductive.v
 theories/EUnboxing.v
 theories/EReorderCstrs.v
+theories/ERemapInductives.v
 theories/EImplementBox.v
 
 theories/Typed/Annotations.v
diff --git a/erasure/theories/EProgram.v b/erasure/theories/EProgram.v
index 28e2ad190..0ab1d5922 100644
--- a/erasure/theories/EProgram.v
+++ b/erasure/theories/EProgram.v
@@ -21,6 +21,12 @@ Import EGlobalEnv EWellformed.
 Definition inductive_mapping : Set := Kernames.inductive * (bytestring.string * list nat).
 Definition inductives_mapping := list inductive_mapping.
 
+Record extract_inductive :=
+  { cstrs : list kername; (* One constant for each constructor *)
+    elim : kername } (* The new eliminator *).
+
+Definition extract_inductives := list (inductive * extract_inductive).
+
 Definition eprogram := (EAst.global_context * EAst.term).
 Definition eprogram_env := (EEnvMap.GlobalContextMap.t * EAst.term).
 
diff --git a/erasure/theories/ERemapInductives.v b/erasure/theories/ERemapInductives.v
new file mode 100644
index 000000000..54149e500
--- /dev/null
+++ b/erasure/theories/ERemapInductives.v
@@ -0,0 +1,228 @@
+From Stdlib Require Import List String Arith Lia ssreflect ssrbool Morphisms.
+Import ListNotations.
+From Equations Require Import Equations.
+Set Equations Transparent.
+
+From MetaRocq.PCUIC Require Import PCUICAstUtils.
+From MetaRocq.Utils Require Import MRList bytestring utils monad_utils.
+From MetaRocq.Erasure Require Import EProgram EPrimitive EAst ESpineView EEtaExpanded EInduction EGlobalEnv
+  EAstUtils ELiftSubst EWellformed ECSubst EWcbvEval.
+
+Import Kernames.
+Import MRMonadNotation.
+
+Lemma lookup_declared_constructor {Σ id mdecl idecl cdecl} :
+  lookup_constructor Σ id.1 id.2 = Some (mdecl, idecl, cdecl) ->
+  declared_constructor Σ id mdecl idecl cdecl.
+Proof.
+  rewrite /lookup_constructor /declared_constructor.
+  rewrite /declared_inductive /lookup_inductive.
+  rewrite /declared_minductive /lookup_minductive.
+  destruct lookup_env => //=. destruct g => //=.
+  destruct nth_error eqn:hn => //. destruct (nth_error _ id.2) eqn:hn' => //.
+  intros [= <- <- <-]. intuition auto.
+Qed.
+
+Fixpoint lookup_inductive_assoc {A} (Σ : list (inductive × A)) (kn : inductive) {struct Σ} : option A :=
+    match Σ with
+    | [] => None
+    | d :: tl => if kn == d.1 then Some d.2 else lookup_inductive_assoc tl kn
+    end.
+
+Equations filter_map {A B} (f : A -> option B) (l : list A) : list B :=
+  | f, [] := []
+  | f, x :: xs with f x := {
+    | None => filter_map f xs
+    | Some x' => x' :: filter_map f xs }.
+
+Section Remap.
+  Context (Σ : global_declarations).
+  Context (mapping : extract_inductives).
+
+  Definition lookup_constructor_mapping i c : option kername :=
+    trs <- lookup_inductive_assoc mapping i ;;
+    nth_error trs.(cstrs) c.
+
+  Definition lookup_constructor_remapping i c args :=
+    match lookup_constructor_mapping i c with
+    | None => tConstruct i c args
+    | Some c' => mkApps (tConst c') args
+    end.
+
+  Fixpoint it_mkLambda nas t :=
+    match nas with
+    | [] => t
+    | na :: nas => tLambda na (it_mkLambda nas t)
+    end.
+
+  Definition make_branch '(ctx, br) :=
+    match #|ctx| with
+    | 0 => tLambda BasicAst.nAnon (lift 1 0 br)
+    | _ => it_mkLambda ctx br
+    end.
+
+  Definition remap_case i c brs :=
+    match lookup_inductive_assoc mapping (fst i) with
+    | None => tCase i c brs
+    | Some tr =>
+        mkApps (tConst tr.(elim)) (map make_branch brs)
+    end.
+
+  Equations remap (t : term) : term :=
+    | tVar na => tVar na
+    | tLambda nm bod => tLambda nm (remap bod)
+    | tLetIn nm dfn bod => tLetIn nm (remap dfn) (remap bod)
+    | tApp fn arg => tApp (remap fn) (remap arg)
+    | tConst nm => tConst nm
+    | tConstruct i m args => lookup_constructor_remapping i m (map remap args)
+    | tCase i mch brs =>
+        let brs := map (on_snd remap) brs in
+        let mch := remap mch in
+        remap_case i mch brs
+    | tFix mfix idx => tFix (map (map_def remap) mfix) idx
+    | tCoFix mfix idx => tCoFix (map (map_def remap) mfix) idx
+    | tProj p bod =>
+      tProj p (remap bod)
+    | tPrim p => tPrim (map_prim remap p)
+    | tLazy t => tLazy (remap t)
+    | tForce t => tForce (remap t)
+    | tRel n => tRel n
+    | tBox => tBox
+    | tEvar ev args => tEvar ev (map remap args).
+
+    Definition remap_constant_decl cb :=
+      {| cst_body := option_map remap cb.(cst_body) |}.
+
+    Definition remaped_one_ind kn i (oib : one_inductive_body) : bool :=
+      match lookup_inductive_assoc mapping {| inductive_mind := kn; inductive_ind := i |} with
+      | None => false
+      | Some trs => true
+      end.
+
+    Definition remap_inductive_decl kn idecl :=
+      let remapings := mapi (remaped_one_ind kn) idecl.(ind_bodies) in
+      List.forallb (fun b => b) remapings.
+
+    Definition remap_decl d :=
+      match d.2 with
+      | ConstantDecl cb => Some (d.1, ConstantDecl (remap_constant_decl cb))
+      | InductiveDecl idecl => if remap_inductive_decl d.1 idecl then None else Some d
+      end.
+
+    Definition remap_env Σ :=
+      filter_map (remap_decl) Σ.
+
+End Remap.
+
+Definition remap_program mapping (p : program) : program :=
+  (remap_env mapping p.1, remap mapping p.2).
+
+From MetaRocq.Erasure Require Import EProgram EWellformed EWcbvEval.
+From MetaRocq.Common Require Import Transform.
+
+Definition inductives_extraction_program :=
+  (global_context × extract_inductives) × term.
+
+Definition inductives_extraction_program_inlinings (pr : inductives_extraction_program) : extract_inductives :=
+  pr.1.2.
+
+Coercion inductives_extraction_program_inlinings : inductives_extraction_program >-> extract_inductives.
+
+Definition extract_inductive_program mapping (p : program) : inductives_extraction_program :=
+  let Σ' := remap_env mapping p.1 in
+  (Σ', mapping, remap mapping p.2).
+
+Definition forget_inductive_extraction_info (pr : inductives_extraction_program) : eprogram :=
+  let '((Σ', inls), p) := pr in
+  (Σ', p).
+
+Coercion forget_inductive_extraction_info : inductives_extraction_program >-> eprogram.
+
+Definition eval_inductives_extraction_program wfl (pr : inductives_extraction_program) := eval_eprogram wfl pr.
+
+Axiom trust_inductive_extraction_wf :
+  forall efl : EEnvFlags,
+  WcbvFlags ->
+  forall inductive_extraction : extract_inductives,
+  forall (input : Transform.program _ term),
+  wf_eprogram efl input -> wf_eprogram efl (extract_inductive_program inductive_extraction input).
+Axiom trust_inductive_extraction_pres :
+  forall (efl : EEnvFlags) (wfl : WcbvFlags) inductive_extraction (p : Transform.program _ term)
+  (v : term),
+  wf_eprogram efl p ->
+  eval_eprogram wfl p v ->
+  exists v' : term,
+  let ip := extract_inductive_program inductive_extraction p in
+  eval_eprogram wfl ip v' /\ v' = remap ip v.
+
+Import Transform.
+
+Program Definition extract_inductive_transformation (efl : EEnvFlags) (wfl : WcbvFlags) inductive_extraction :
+  Transform.t _ _ EAst.term EAst.term _ _
+    (eval_eprogram wfl) (eval_inductives_extraction_program wfl) :=
+  {| name := "inductive_extraction ";
+    transform p _ := extract_inductive_program inductive_extraction p ;
+    pre p := wf_eprogram efl p ;
+    post (p : inductives_extraction_program) := wf_eprogram efl p ;
+    obseq p hp (p' : inductives_extraction_program) v v' := v' = remap p' v |}.
+
+Next Obligation.
+  now apply trust_inductive_extraction_wf.
+Qed.
+Next Obligation.
+  now eapply trust_inductive_extraction_pres.
+Qed.
+
+#[global]
+Axiom trust_inline_transformation_ext :
+  forall (efl : EEnvFlags) (wfl : WcbvFlags) inductive_extraction,
+  TransformExt.t (extract_inductive_transformation efl wfl inductive_extraction)
+    (fun p p' => extends p.1 p'.1) (fun p p' => extends p.1.1 p'.1.1).
+
+Definition extends_inductives_extraction_eprogram (p q : inductives_extraction_program) :=
+  extends p.1.1 q.1.1 /\ p.2 = q.2.
+
+#[global]
+Axiom trust_inline_transformation_ext' :
+  forall (efl : EEnvFlags) (wfl : WcbvFlags) inductive_extraction,
+  TransformExt.t (extract_inductive_transformation efl wfl inductive_extraction)
+    extends_eprogram extends_inductives_extraction_eprogram.
+
+
+Program Definition forget_inductive_extraction_info_transformation (efl : EEnvFlags) (wfl : WcbvFlags) :
+  Transform.t _ _ EAst.term EAst.term _ _
+      (eval_inductives_extraction_program wfl) (eval_eprogram wfl) :=
+    {| name := "forgetting about inductive_extraction info";
+      transform p _ := (p.1.1, p.2) ;
+      pre (p : inductives_extraction_program) := wf_eprogram efl p ;
+      post (p : eprogram) := wf_eprogram efl p ;
+      obseq p hp p' v v' := v' = v |}.
+
+  Next Obligation.
+    destruct input as [[Σ inls] t].
+    exact p.
+  Qed.
+  Next Obligation.
+    exists v; split => //. subst p'.
+    now destruct p as [[Σ inls] t].
+  Qed.
+
+#[global]
+Lemma forget_inductive_extraction_info_transformation_ext :
+  forall (efl : EEnvFlags) (wfl : WcbvFlags),
+  TransformExt.t (forget_inductive_extraction_info_transformation efl wfl)
+    (fun p p' => extends p.1.1 p'.1.1) (fun p p' => extends p.1 p'.1).
+Proof.
+  intros.
+  red. now intros [[] ?] [[] ?]; cbn.
+Qed.
+
+#[global]
+Lemma forget_inductive_extraction_info_transformation_ext' :
+  forall (efl : EEnvFlags) (wfl : WcbvFlags),
+  TransformExt.t (forget_inductive_extraction_info_transformation efl wfl)
+    extends_inductives_extraction_eprogram extends_eprogram.
+Proof.
+  intros ? ? [[] ?] [[] ?]; cbn.
+  now rewrite /extends_inductives_extraction_eprogram /extends_eprogram /=.
+Qed.