src/HOL/Tools/Sledgehammer/sledgehammer_prover_atp.ML
changeset 78645 de8081bc85a0
parent 77602 7c25451ae2c1
child 78708 72d2693fb0ec
--- a/src/HOL/Tools/Sledgehammer/sledgehammer_prover_atp.ML	Tue Sep 05 15:23:48 2023 +0200
+++ b/src/HOL/Tools/Sledgehammer/sledgehammer_prover_atp.ML	Tue Sep 05 15:23:50 2023 +0200
@@ -289,7 +289,8 @@
           val _ =
             if mode = Normal andalso not (is_conjecture_used_in_proof atp_proof)
                andalso not (Logic.get_goal (Thm.prop_of goal) subgoal aconv @{prop False}) then
-              warning ("Derived \"False\" from these facts alone: " ^ commas (map fst used_facts))
+              warning ("Derived \"False\" from these facts alone: " ^
+                space_implode " " (map fst used_facts))
             else
               ()