diff --git a/compiler/rustc_trait_selection/src/solve/mod.rs b/compiler/rustc_trait_selection/src/solve/mod.rs
index 70f09401445..a920f04621d 100644
--- a/compiler/rustc_trait_selection/src/solve/mod.rs
+++ b/compiler/rustc_trait_selection/src/solve/mod.rs
@@ -20,6 +20,7 @@
 use std::mem;
 
 use rustc_hir::def_id::DefId;
+use rustc_hir::CRATE_HIR_ID;
 use rustc_infer::infer::canonical::{Canonical, CanonicalVarKind, CanonicalVarValues};
 use rustc_infer::infer::canonical::{OriginalQueryValues, QueryRegionConstraints, QueryResponse};
 use rustc_infer::infer::{InferCtxt, InferOk, TyCtxtInferExt};
@@ -277,12 +278,15 @@ fn compute_goal(&mut self, goal: Goal<'tcx, ty::Predicate<'tcx>>) -> QueryResult
                         param_env,
                         predicate: (def_id, substs, kind),
                     }),
+                ty::PredicateKind::ObjectSafe(trait_def_id) => {
+                    self.compute_object_safe_goal(trait_def_id)
+                }
+                ty::PredicateKind::WellFormed(arg) => {
+                    self.compute_well_formed_goal(Goal { param_env, predicate: arg })
+                }
                 ty::PredicateKind::Ambiguous => self.make_canonical_response(Certainty::AMBIGUOUS),
                 // FIXME: implement these predicates :)
-                ty::PredicateKind::WellFormed(_)
-                | ty::PredicateKind::ObjectSafe(_)
-                | ty::PredicateKind::ConstEvaluatable(_)
-                | ty::PredicateKind::ConstEquate(_, _) => {
+                ty::PredicateKind::ConstEvaluatable(_) | ty::PredicateKind::ConstEquate(_, _) => {
                     self.make_canonical_response(Certainty::Yes)
                 }
                 ty::PredicateKind::TypeWellFormedFromEnv(..) => {
@@ -362,6 +366,35 @@ fn compute_closure_kind_goal(
             Err(NoSolution)
         }
     }
+
+    fn compute_object_safe_goal(&mut self, trait_def_id: DefId) -> QueryResult<'tcx> {
+        if self.tcx().is_object_safe(trait_def_id) {
+            self.make_canonical_response(Certainty::Yes)
+        } else {
+            Err(NoSolution)
+        }
+    }
+
+    fn compute_well_formed_goal(
+        &mut self,
+        goal: Goal<'tcx, ty::GenericArg<'tcx>>,
+    ) -> QueryResult<'tcx> {
+        self.infcx.probe(|_| {
+            match crate::traits::wf::obligations(
+                self.infcx,
+                goal.param_env,
+                CRATE_HIR_ID, // FIXME body id
+                0,
+                goal.predicate,
+                DUMMY_SP,
+            ) {
+                Some(obligations) => self.evaluate_all_and_make_canonical_response(
+                    obligations.into_iter().map(|o| o.into()).collect(),
+                ),
+                None => self.make_canonical_response(Certainty::AMBIGUOUS),
+            }
+        })
+    }
 }
 
 impl<'tcx> EvalCtxt<'_, 'tcx> {