diff --git a/library/data/quotient/basic.lean b/library/data/quotient/basic.lean
index 28559bf87..32947889c 100644
--- a/library/data/quotient/basic.lean
+++ b/library/data/quotient/basic.lean
@@ -121,7 +121,7 @@ theorem comp {A B : Type} {R : A → A → Prop} {abs : A → B} {rep : B → A}
   (Q : is_quotient R abs rep) {C : B → Type} {f : forall (a : A), C (abs a)}
   (H : forall (r s : A) (H' : R r s), eq.rec_on (eq_abs Q H') (f r) = f s)
   {a : A} (Ha : R a a) : rec Q f (abs a) = f a :=
-have H2 [fact] : R a (rep (abs a)), from R_rep_abs Q Ha,
+have H2 [visible] : R a (rep (abs a)), from R_rep_abs Q Ha,
 calc
   rec Q f (abs a) =  eq.rec_on _ (f (rep (abs a))) : rfl
     ... = eq.rec_on _ (eq.rec_on _ (f a)) : {(H _ _ H2)⁻¹}
diff --git a/library/logic/axioms/piext.lean b/library/logic/axioms/piext.lean
index 69f982f47..6d64306d1 100644
--- a/library/logic/axioms/piext.lean
+++ b/library/logic/axioms/piext.lean
@@ -14,13 +14,13 @@ axiom piext {A : Type} {B B' : A → Type} {H : inhabited (Π x, B x)} :
 
 theorem cast_app {A : Type} {B B' : A → Type} (H : (Π x, B x) = (Π x, B' x)) (f : Π x, B x)
   (a : A) : cast H f a == f a :=
-have Hi [fact] : inhabited (Π x, B x), from inhabited.mk f,
+have Hi [visible] : inhabited (Π x, B x), from inhabited.mk f,
 have Hb : B = B', from piext H,
 cast_app' Hb f a
 
 theorem hcongr_fun {A : Type} {B B' : A → Type} {f : Π x, B x} {f' : Π x, B' x} (a : A)
   (H : f == f') : f a == f' a :=
-have Hi [fact] : inhabited (Π x, B x), from inhabited.mk f,
+have Hi [visible] : inhabited (Π x, B x), from inhabited.mk f,
 have Hb : B = B', from piext (type_eq H),
 hcongr_fun' a H Hb
 
diff --git a/library/logic/core/if.lean b/library/logic/core/if.lean
index ce104db86..246842c59 100644
--- a/library/logic/core/if.lean
+++ b/library/logic/core/if.lean
@@ -53,5 +53,5 @@ Ht ▸ He ▸ (if_cond_congr Hc t₁ e₁)
 
 theorem if_congr {c₁ c₂ : Prop} {H₁ : decidable c₁} {A : Type} {t₁ t₂ e₁ e₂ : A} (Hc : c₁ ↔ c₂) (Ht : t₁ = t₂) (He : e₁ = e₂) :
                  (if c₁ then t₁ else e₁) = (@ite c₂ (decidable_iff_equiv H₁ Hc) A t₂ e₂) :=
-have H2 [fact] : decidable c₂, from (decidable_iff_equiv H₁ Hc),
+have H2 [visible] : decidable c₂, from (decidable_iff_equiv H₁ Hc),
 if_congr_aux Hc Ht He
diff --git a/src/emacs/lean-syntax.el b/src/emacs/lean-syntax.el
index 5979fbc78..a5ce50a58 100644
--- a/src/emacs/lean-syntax.el
+++ b/src/emacs/lean-syntax.el
@@ -70,7 +70,7 @@
      ;; place holder
      (,(rx symbol-start "_" symbol-end) . 'font-lock-preprocessor-face)
      ;; modifiers
-     (,(rx (or "\[notation\]" "\[protected\]" "\[private\]" "\[instance\]" "\[class\]" "\[coercion\]" "\[inline\]")) . 'font-lock-doc-face)
+     (,(rx (or "\[notation\]" "\[visible\]" "\[protected\]" "\[private\]" "\[instance\]" "\[class\]" "\[coercion\]" "\[inline\]")) . 'font-lock-doc-face)
      ;; tactics
      (,(rx symbol-start
            (or "\\b.*_tac" "Cond" "or_else" "then" "try" "when" "assumption" "apply" "back" "beta" "done" "exact" "repeat")
diff --git a/src/frontends/lean/builtin_exprs.cpp b/src/frontends/lean/builtin_exprs.cpp
index a34dff6ec..88cb4f74f 100644
--- a/src/frontends/lean/builtin_exprs.cpp
+++ b/src/frontends/lean/builtin_exprs.cpp
@@ -25,7 +25,7 @@ Author: Leonardo de Moura
 namespace lean {
 namespace notation {
 static name g_llevel_curly(".{"), g_rcurly("}"), g_in("in"), g_colon(":"), g_assign(":=");
-static name g_comma(","), g_fact("[fact]"), g_from("from"), g_using("using");
+static name g_comma(","), g_visible("[visible]"), g_from("from"), g_using("using");
 static name g_then("then"), g_have("have"), g_by("by"), g_qed("qed"), g_end("end");
 static name g_take("take"), g_assume("assume"), g_show("show"), g_fun("fun");
 
@@ -57,10 +57,10 @@ static expr parse_let_body(parser & p, pos_info const & pos) {
     }
 }
 
-static void parse_let_modifiers(parser & p, bool & is_fact) {
+static void parse_let_modifiers(parser & p, bool & is_visible) {
     while (true) {
-        if (p.curr_is_token(g_fact)) {
-            is_fact = true;
+        if (p.curr_is_token(g_visible)) {
+            is_visible = true;
             p.next();
         } else {
             break;
@@ -73,12 +73,12 @@ static expr parse_let(parser & p, pos_info const & pos) {
     if (p.parse_local_notation_decl()) {
         return parse_let_body(p, pos);
     } else {
-        auto id_pos = p.pos();
-        name id  = p.check_atomic_id_next("invalid let declaration, identifier expected");
-        bool is_fact   = false;
+        auto id_pos     = p.pos();
+        name id         = p.check_atomic_id_next("invalid let declaration, identifier expected");
+        bool is_visible = false;
         optional<expr> type;
         expr value;
-        parse_let_modifiers(p, is_fact);
+        parse_let_modifiers(p, is_visible);
         if (p.curr_is_token(g_assign)) {
             p.next();
             value = p.parse_expr();
@@ -195,22 +195,22 @@ static expr parse_proof(parser & p, expr const & prop) {
 
 static expr parse_have_core(parser & p, pos_info const & pos, optional<expr> const & prev_local) {
     auto id_pos       = p.pos();
-    bool is_fact      = false;
+    bool is_visible   = false;
     name id;
     expr prop;
-    if (p.curr_is_token(g_fact)) {
+    if (p.curr_is_token(g_visible)) {
         p.next();
-        is_fact       = true;
+        is_visible    = true;
         id            = p.mk_fresh_name();
         prop          = p.parse_expr();
     } else if (p.curr_is_identifier()) {
         id = p.get_name_val();
         p.next();
-        if (p.curr_is_token(g_fact)) {
+        if (p.curr_is_token(g_visible)) {
             p.next();
             p.check_token_next(g_colon, "invalid 'have' declaration, ':' expected");
-            is_fact   = true;
-            prop      = p.parse_expr();
+            is_visible = true;
+            prop       = p.parse_expr();
         } else if (p.curr_is_token(g_colon)) {
             p.next();
             prop      = p.parse_expr();
@@ -237,7 +237,7 @@ static expr parse_have_core(parser & p, pos_info const & pos, optional<expr> con
     }
     p.check_token_next(g_comma, "invalid 'have' declaration, ',' expected");
     parser::local_scope scope(p);
-    binder_info bi = mk_contextual_info(is_fact);
+    binder_info bi = mk_contextual_info(is_visible);
     expr l = p.save_pos(mk_local(id, prop, bi), pos);
     p.add_local(l);
     expr body;
@@ -280,12 +280,12 @@ static expr parse_obtain(parser & p, unsigned, expr const *, pos_info const & po
     unsigned num_ps = ps.size();
     if (num_ps < 2)
         throw parser_error("invalid 'obtain' expression, at least 2 binders expected", b_pos);
-    bool is_fact = false;
-    if (p.curr_is_token(g_fact)) {
+    bool is_visible = false;
+    if (p.curr_is_token(g_visible)) {
         p.next();
-        is_fact = true;
+        is_visible = true;
     }
-    if (!is_fact) {
+    if (!is_visible) {
         expr H = ps[num_ps-1];
         ps[num_ps-1] = update_local(H, mlocal_type(H), local_info(H).update_contextual(false));
     }
diff --git a/src/frontends/lean/pp.cpp b/src/frontends/lean/pp.cpp
index 94117c8de..006c8af39 100644
--- a/src/frontends/lean/pp.cpp
+++ b/src/frontends/lean/pp.cpp
@@ -43,7 +43,7 @@ static format g_in_fmt          = highlight_keyword(format("in"));
 static format g_assign_fmt      = highlight_keyword(format(":="));
 static format g_have_fmt        = highlight_keyword(format("have"));
 static format g_from_fmt        = highlight_keyword(format("from"));
-static format g_fact_fmt        = highlight_keyword(format("[fact]"));
+static format g_visible_fmt     = highlight_keyword(format("[visible]"));
 static format g_show_fmt        = highlight_keyword(format("show"));
 static format g_explicit_fmt    = highlight_keyword(format("@"));
 
@@ -362,7 +362,7 @@ auto pretty_fn::pp_have(expr const & e) -> result {
     format body_fmt  = pp_child(body, 0).first;
     format r = g_have_fmt + space() + format(n) + space();
     if (binding_info(binding).is_contextual())
-        r += compose(g_fact_fmt, space());
+        r += compose(g_visible_fmt, space());
     r += colon() + nest(m_indent, line() + type_fmt + comma() + space() + g_from_fmt);
     r = group(r);
     r += nest(m_indent, line() + proof_fmt + comma());
diff --git a/src/frontends/lean/token_table.cpp b/src/frontends/lean/token_table.cpp
index dc849c2f3..930c2865d 100644
--- a/src/frontends/lean/token_table.cpp
+++ b/src/frontends/lean/token_table.cpp
@@ -77,7 +77,7 @@ token_table init_token_table() {
          {"+", g_plus_prec}, {g_cup, g_cup_prec}, {"->", g_arrow_prec}, {nullptr, 0}};
 
     char const * commands[] = {"theorem", "axiom", "variable", "definition", "coercion",
-                               "variables", "[private]", "[protected]", "[inline]", "[fact]", "[instance]",
+                               "variables", "[private]", "[protected]", "[inline]", "[visible]", "[instance]",
                                "[class]", "[module]", "[coercion]",
                                "abbreviation", "opaque_hint", "evaluate", "check", "print", "end", "namespace", "section", "import",
                                "abbreviation", "inductive", "record", "renaming", "extends", "structure", "module", "universe",
diff --git a/src/library/tactic/tactic.cpp b/src/library/tactic/tactic.cpp
index 43e94b515..78dadf092 100644
--- a/src/library/tactic/tactic.cpp
+++ b/src/library/tactic/tactic.cpp
@@ -28,7 +28,7 @@ void check_has_no_local(expr const & v, expr const & e, char const * tac_name) {
                 if (is_local(l))
                     throw tactic_exception(e, sstream() << "tactic '" << tac_name << "' contains reference to local '" << local_pp_name(l)
                                            << "' which is not visible by this tactic "
-                                           << "possible causes: it was not marked as [fact]; it was destructued");
+                                           << "possible causes: it was not marked as [visible]; it was destructued");
                 return has_local(l);
             });
     }
diff --git a/tests/lean/have1.lean b/tests/lean/have1.lean
index 858989c3f..8a7f4c6b6 100644
--- a/tests/lean/have1.lean
+++ b/tests/lean/have1.lean
@@ -5,10 +5,10 @@ variables a b c : bool
 axiom H1 : a = b
 axiom H2 : b = c
 
-check have e1 [fact] : a = b, from H1,
+check have e1 [visible] : a = b, from H1,
       have e2 : a = c, by apply trans; apply e1; apply H2,
       have e3 : c = a, from e2⁻¹,
-      have e4 [fact] : b = a, from e1⁻¹,
+      have e4 [visible] : b = a, from e1⁻¹,
       have e5 : b = c, from e4 ⬝ e2,
       have e6 : a = a, from H1 ⬝ H2 ⬝ H2⁻¹ ⬝ H1⁻¹ ⬝ H1 ⬝ H2 ⬝ H2⁻¹ ⬝ H1⁻¹,
       e3 ⬝ e2
diff --git a/tests/lean/have1.lean.expected.out b/tests/lean/have1.lean.expected.out
index e2604264f..4bb73aac7 100644
--- a/tests/lean/have1.lean.expected.out
+++ b/tests/lean/have1.lean.expected.out
@@ -1,7 +1,7 @@
-have e1 [fact] : eq a b, from H1,
+have e1 [visible] : eq a b, from H1,
 have e2 : eq a c, from trans e1 H2,
 have e3 : eq c a, from symm e2,
-have e4 [fact] : eq b a, from symm e1,
+have e4 [visible] : eq b a, from symm e1,
 have e5 : eq b c, from trans e4 e2,
 have e6 : eq a a, from
   trans H1 (trans H2 (trans (symm H2) (trans (symm H1) (trans H1 (trans H2 (trans (symm H2) (symm H1))))))),
diff --git a/tests/lean/let1.lean b/tests/lean/let1.lean
index bcad91633..93b717bf3 100644
--- a/tests/lean/let1.lean
+++ b/tests/lean/let1.lean
@@ -14,8 +14,8 @@ check let bool                      := Type.{0},
 
 check let bool                := Type.{0},
           and  (p q : bool)   := ∀ c : bool, (p → q → c) → c,
-          infixl `∧`:25               := and,
-          and_intro [fact] (p q : bool) (H1 : p) (H2 : q) : q ∧ p
+          infixl `∧`:25       := and,
+          and_intro [visible] (p q : bool) (H1 : p) (H2 : q) : q ∧ p
               := λ (c : bool) (H : p → q → c), H H1 H2,
           and_elim_left  (p q : bool) (H : p ∧ q) : p
               := H p (λ (H1 : p) (H2 : q), H1),
diff --git a/tests/lean/run/elim2.lean b/tests/lean/run/elim2.lean
index c7a33fa81..c1a2e677c 100644
--- a/tests/lean/run/elim2.lean
+++ b/tests/lean/run/elim2.lean
@@ -4,5 +4,5 @@ variable p : num → num → num → Prop
 axiom H1 : ∃ x y z, p x y z
 axiom H2 : ∀ {x y z : num}, p x y z → p x x x
 theorem tst : ∃ x, p x x x
-:= obtain a b c H [fact], from H1,
+:= obtain a b c H [visible], from H1,
      by (apply exists_intro; apply H2; eassumption)
diff --git a/tests/lean/run/have2.lean b/tests/lean/run/have2.lean
index 71ca1ed2d..ef0cb5a18 100644
--- a/tests/lean/run/have2.lean
+++ b/tests/lean/run/have2.lean
@@ -3,6 +3,6 @@ variables a b c : Prop
 axiom Ha : a
 axiom Hb : b
 axiom Hc : c
-check have H1 [fact] : a, from Ha,
+check have H1 [visible] : a, from Ha,
       have H2 : a, from H1,
-      H2
\ No newline at end of file
+      H2
diff --git a/tests/lean/run/have6.lean b/tests/lean/run/have6.lean
index 758bf68fd..df5face1f 100644
--- a/tests/lean/run/have6.lean
+++ b/tests/lean/run/have6.lean
@@ -8,11 +8,11 @@ axiom Hb : b
 axiom Hc : c
 check
   have a ∧ b, from and_intro a b Ha Hb,
-  have [fact] b ∧ a, from and_intro b a Hb Ha,
+  have [visible] b ∧ a, from and_intro b a Hb Ha,
   have H : a ∧ b, from and_intro a b Ha Hb,
-  have H [fact] : a ∧ b, from and_intro a b Ha Hb,
+  have H [visible] : a ∧ b, from and_intro a b Ha Hb,
   then have a ∧ b, from and_intro a b Ha Hb,
-  then have [fact] b ∧ a, from and_intro b a Hb Ha,
+  then have [visible] b ∧ a, from and_intro b a Hb Ha,
   then have H : a ∧ b, from and_intro a b Ha Hb,
-  then have H [fact] : a ∧ b, from and_intro a b Ha Hb,
-    Ha
\ No newline at end of file
+  then have H [visible] : a ∧ b, from and_intro a b Ha Hb,
+    Ha
diff --git a/tests/lean/run/tactic11.lean b/tests/lean/run/tactic11.lean
index 8b41c6e41..32eaabea2 100644
--- a/tests/lean/run/tactic11.lean
+++ b/tests/lean/run/tactic11.lean
@@ -2,7 +2,7 @@ import logic
 open tactic
 
 theorem tst (a b : Prop) (H : a ↔ b) : b ↔ a
-:= have H1 [fact] : a → b, -- We need to mark H1 as fact, otherwise it is not visible by tactics
+:= have H1 [visible] : a → b, -- We need to mark H1 as fact, otherwise it is not visible by tactics
    from iff.elim_left H,
    by apply iff.intro;
       apply (assume Hb, iff.elim_right H Hb);
diff --git a/tests/lean/run/univ_bug2.lean b/tests/lean/run/univ_bug2.lean
index 5c58b2ee5..219f85180 100644
--- a/tests/lean/run/univ_bug2.lean
+++ b/tests/lean/run/univ_bug2.lean
@@ -25,8 +25,8 @@ mk (congr (get_eq C1) (get_eq C2))
 
 theorem test1 (S : Type) (T : Type) (f1 f2 : S → T) (s1 s2 : S) (Hf : f1 = f2) (Hs : s1 = s2) :
   f1 s1 = f2 s2 :=
-have Rs [fact] : simplifies_to f1 f2, from mk Hf,
-have Cs [fact] : simplifies_to s1 s2, from mk Hs,
+have Rs [visible] : simplifies_to f1 f2, from mk Hf,
+have Cs [visible] : simplifies_to s1 s2, from mk Hs,
 infer_eq _ _
 
 end simplifies_to
diff --git a/tests/lean/run/uuu.lean b/tests/lean/run/uuu.lean
index 8b8a09936..a0b8422e5 100644
--- a/tests/lean/run/uuu.lean
+++ b/tests/lean/run/uuu.lean
@@ -68,7 +68,7 @@ definition dirprodf {X : Type} {Y : Type} {X' : Type} {Y' : Type} (f : X → Y)
 := dirprodpair (f (pr1 xx')) (f' (pr2 xx'))
 definition ddualand {X : Type} {Y : Type} {P : Type} (xp : (X → P) → P) (yp : (Y → P) → P) : (dirprod X Y → P) → P
 := λ X0,
-   let int1 [fact] := λ (ypp : (Y → P) → P) (x : X), yp (λ y : Y, X0 (dirprodpair x y)) in
+   let int1 := λ (ypp : (Y → P) → P) (x : X), yp (λ y : Y, X0 (dirprodpair x y)) in
    xp (int1 yp)
 
 definition neg (X : Type) : Type := X → empty
diff --git a/tests/lean/show1.lean b/tests/lean/show1.lean
index e0688bcf8..27479a3ed 100644
--- a/tests/lean/show1.lean
+++ b/tests/lean/show1.lean
@@ -7,8 +7,8 @@ axiom H2 : b = c
 
 check show a = c, from H1 ⬝ H2
 print "------------"
-check have e1 [fact] : a = b, from H1,
+check have e1 [visible] : a = b, from H1,
       have e2 : a = c, by apply eq.trans; apply e1; apply H2,
       have e3 : c = a, from e2⁻¹,
-      have e4 [fact] : b = a, from e1⁻¹,
+      have e4 [visible] : b = a, from e1⁻¹,
       show b = c, from e1⁻¹ ⬝ e2
diff --git a/tests/lean/show1.lean.expected.out b/tests/lean/show1.lean.expected.out
index d136ca271..415259862 100644
--- a/tests/lean/show1.lean.expected.out
+++ b/tests/lean/show1.lean.expected.out
@@ -1,8 +1,8 @@
 show eq a c, from eq.trans H1 H2 : eq a c
 ------------
-have e1 [fact] : eq a b, from H1,
+have e1 [visible] : eq a b, from H1,
 have e2 : eq a c, from eq.trans e1 H2,
 have e3 : eq c a, from eq.symm e2,
-have e4 [fact] : eq b a, from eq.symm e1,
+have e4 [visible] : eq b a, from eq.symm e1,
 show eq b c, from eq.trans (eq.symm e1) e2 :
   eq b c