diff --git a/examples/bts/185_apply_let.mlw b/examples/bts/185_apply_let.mlw
new file mode 100644
index 0000000000000000000000000000000000000000..1cc058847249ab2e833fe60afd95ee4fcff3d277
--- /dev/null
+++ b/examples/bts/185_apply_let.mlw
@@ -0,0 +1,11 @@
+module Test
+
+  function f int : int = 17
+  predicate p int int
+  axiom A: forall x y. x = f y -> p x y
+  axiom B: forall y. let x = f y in p x y
+
+  goal g : p 17 42
+
+
+end
diff --git a/examples/bts/185_apply_let/why3session.xml b/examples/bts/185_apply_let/why3session.xml
new file mode 100644
index 0000000000000000000000000000000000000000..566ae522581f74e8e70682e19de347bac0f69272
--- /dev/null
+++ b/examples/bts/185_apply_let/why3session.xml
@@ -0,0 +1,17 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
+"http://why3.lri.fr/why3session.dtd">
+<why3session shape_version="5">
+<file name="../185_apply_let.mlw" proved="true">
+<theory name="Test" proved="true">
+ <goal name="g" proved="true">
+ <transf name="apply" proved="true" arg1="B">
+  <goal name="g.0" proved="true">
+  <transf name="compute_in_goal" proved="true" >
+  </transf>
+  </goal>
+ </transf>
+ </goal>
+</theory>
+</file>
+</why3session>
diff --git a/examples/bts/185_apply_let/why3shapes.gz b/examples/bts/185_apply_let/why3shapes.gz
new file mode 100644
index 0000000000000000000000000000000000000000..208b982bb8a95f1ffbd12f9b0133b29b78219ac0
Binary files /dev/null and b/examples/bts/185_apply_let/why3shapes.gz differ
diff --git a/src/transform/apply.ml b/src/transform/apply.ml
index cb55496d07b42eb56c84a69329cb11d24f91715c..07cf91e600e5208699a0c0375bbdc6af5d627c54 100644
--- a/src/transform/apply.ml
+++ b/src/transform/apply.ml
@@ -35,6 +35,10 @@ let intros f =
     | Tquant (Tforall, fq) ->
         let vsl, _, fs = t_open_quant fq in
         intros_aux lp (lv @ vsl) fs
+    | Tlet (t, tb) ->
+        let vs, t2 = t_open_bound tb in
+        let f = t_equ (t_var vs) t in
+        intros_aux (f :: lp) ([vs] @ lv) t2
     | _ -> (lp, lv, f) in
   intros_aux [] [] f