diff --git a/src/Init/Conv.lean b/src/Init/Conv.lean
index c9dbfcaf13..42de4c38b7 100644
--- a/src/Init/Conv.lean
+++ b/src/Init/Conv.lean
@@ -30,6 +30,8 @@ syntax (name := pattern) "pattern " term : conv
 syntax (name := rewrite) "rewrite " rwRuleSeq : conv
 syntax (name := erewrite) "erewrite " rwRuleSeq : conv
 syntax (name := simp) "simp " ("(" &"config" " := " term ")")? (&"only ")? ("[" (simpStar <|> simpErase <|> simpLemma),* "]")? : conv
+syntax (name := simpMatch) "simpMatch " : conv
+
 /-- Execute the given tactic block without converting `conv` goal into a regular goal -/
 syntax (name := nestedTacticCore) "tactic'" " => " tacticSeq : conv
 /-- Focus, convert the `conv` goal `⊢ lhs` into a regular goal `⊢ lhs = rhs`, and then execute the given tactic block. -/
diff --git a/src/Lean/Elab/Tactic/Conv/Simp.lean b/src/Lean/Elab/Tactic/Conv/Simp.lean
index 2c8267c569..5797efd983 100644
--- a/src/Lean/Elab/Tactic/Conv/Simp.lean
+++ b/src/Lean/Elab/Tactic/Conv/Simp.lean
@@ -4,18 +4,23 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Leonardo de Moura
 -/
 import Lean.Elab.Tactic.Simp
+import Lean.Elab.Tactic.Split
 import Lean.Elab.Tactic.Conv.Basic
 
 namespace Lean.Elab.Tactic.Conv
 open Meta
 
-@[builtinTactic Lean.Parser.Tactic.Conv.simp] def evalSimp : Tactic := fun stx => withMainContext do
-  let { ctx, .. } ← mkSimpContext stx (eraseLocal := false)
-  let lhs ← getLhs
-  let result ← simp lhs ctx
+def applySimpResult (result : Simp.Result) : TacticM Unit := do
   if result.proof?.isNone then
     changeLhs result.expr
   else
     updateLhs result.expr (← result.getProof)
 
+@[builtinTactic Lean.Parser.Tactic.Conv.simp] def evalSimp : Tactic := fun stx => withMainContext do
+  let { ctx, .. } ← mkSimpContext stx (eraseLocal := false)
+  applySimpResult (← simp (← getLhs) ctx)
+
+@[builtinTactic Lean.Parser.Tactic.Conv.simpMatch] def evalSimpMatch : Tactic := fun stx => withMainContext do
+  applySimpResult (← Split.simpMatch (← getLhs))
+
 end Lean.Elab.Tactic.Conv
diff --git a/src/Lean/Meta/Tactic/Split.lean b/src/Lean/Meta/Tactic/Split.lean
index a5e74fb56d..7e4b2efa67 100644
--- a/src/Lean/Meta/Tactic/Split.lean
+++ b/src/Lean/Meta/Tactic/Split.lean
@@ -21,26 +21,42 @@ private def getSimpMatchContext : MetaM Simp.Context :=
       config.decide := false
    }
 
-private def simpMatchPre (matchDeclName : Name) (matchEqDeclName : Name) (e : Expr) : SimpM Simp.Step := do
-  if e.isAppOf matchDeclName then
+def simpMatch (e : Expr) : MetaM Simp.Result := do
+  Simp.main e (← getSimpMatchContext) (methods := { pre })
+where
+  pre (e : Expr) : SimpM Simp.Step := do
+    let some app ← matchMatcherApp? e | return Simp.Step.visit { expr := e }
     -- First try to reduce matcher
     match (← reduceRecMatcher? e) with
     | some e' => return Simp.Step.done { expr := e' }
     | none    =>
-    -- Try lemma
-    match (← Simp.tryLemma? e { proof := mkConst matchEqDeclName, name? := matchEqDeclName } SplitIf.discharge?) with
-    | none => return Simp.Step.visit { expr := e }
-    | some r => return Simp.Step.done r
-  else
-    return Simp.Step.visit { expr := e }
+      for matchEq in (← Match.getEquationsFor app.matcherName).eqnNames do
+        -- Try lemma
+        match (← Simp.tryLemma? e { proof := mkConst matchEq, name? := some matchEq } SplitIf.discharge?) with
+        | none   => pure ()
+        | some r => return Simp.Step.done r
+      return Simp.Step.visit { expr := e }
 
-private def simpMatch (matchDeclName : Name) (matchEqDeclName : Name) (e : Expr) : MetaM Simp.Result := do
-  Simp.main e (← getSimpMatchContext) (methods := { pre := simpMatchPre matchDeclName matchEqDeclName })
+private def simpMatchCore (matchDeclName : Name) (matchEqDeclName : Name) (e : Expr) : MetaM Simp.Result := do
+  Simp.main e (← getSimpMatchContext) (methods := { pre })
+where
+  pre (e : Expr) : SimpM Simp.Step := do
+    if e.isAppOf matchDeclName then
+      -- First try to reduce matcher
+      match (← reduceRecMatcher? e) with
+      | some e' => return Simp.Step.done { expr := e' }
+      | none    =>
+      -- Try lemma
+      match (← Simp.tryLemma? e { proof := mkConst matchEqDeclName, name? := matchEqDeclName } SplitIf.discharge?) with
+      | none => return Simp.Step.visit { expr := e }
+      | some r => return Simp.Step.done r
+    else
+      return Simp.Step.visit { expr := e }
 
-private def simpMatchTarget (mvarId : MVarId) (matchDeclName : Name) (matchEqDeclName : Name) : MetaM MVarId := do
+private def simpMatchTargetCore (mvarId : MVarId) (matchDeclName : Name) (matchEqDeclName : Name) : MetaM MVarId := do
   withMVarContext mvarId do
     let target ← instantiateMVars (← getMVarType mvarId)
-    let r ← simpMatch matchDeclName matchEqDeclName target
+    let r ← simpMatchCore matchDeclName matchEqDeclName target
     match r.proof? with
     | some proof => replaceTargetEq mvarId r.expr proof
     | none => replaceTargetDefEq mvarId r.expr
@@ -78,7 +94,7 @@ def splitMatch (mvarId : MVarId) (e : Expr) : MetaM (List MVarId) := do
       let (_, mvarId) ← introN mvarId numParams
       let (_, mvarId) ← introNP mvarId numExtra
       trace[Meta.debug] "before simpMatch:\n{MessageData.ofGoal mvarId}"
-      let mvarId ← simpMatchTarget mvarId app.matcherName matchEqns.eqnNames[i]
+      let mvarId ← simpMatchTargetCore mvarId app.matcherName matchEqns.eqnNames[i]
       return (i+1, mvarId::mvarIds)
     return mvarIds.reverse