feat(frontends/lean/parse_tactic_location): make rewrite notation more uniform
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4 changed files with 29 additions and 29 deletions
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@ -11,37 +11,28 @@ Author: Leonardo de Moura
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namespace lean {
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static occurrence parse_occurrence(parser & p) {
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bool is_pos = true;
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if (p.curr_is_token(get_sub_tk())) {
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p.next();
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is_pos = false;
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if (!p.curr_is_token(get_lcurly_tk()))
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throw parser_error("invalid tactic location, '{' expected", p.pos());
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}
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if (p.curr_is_token(get_lcurly_tk())) {
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p.next();
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bool has_pos = false;
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bool has_neg = false;
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buffer<unsigned> occs;
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while (true) {
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if (p.curr_is_token(get_sub_tk())) {
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if (has_pos)
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throw parser_error("invalid tactic location, cannot mix positive and negative occurrences", p.pos());
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has_neg = true;
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p.next();
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auto pos = p.pos();
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unsigned i = p.parse_small_nat();
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if (i == 0)
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throw parser_error("invalid tactic location, first occurrence is 1", pos);
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occs.push_back(i);
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} else {
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auto pos = p.pos();
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unsigned i = p.parse_small_nat();
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if (i == 0)
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throw parser_error("invalid tactic location, first occurrence is 1", pos);
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occs.push_back(i);
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if (has_neg)
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throw parser_error("invalid tactic location, cannot mix positive and negative occurrences", pos);
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has_pos = true;
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}
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if (p.curr_is_token(get_rcurly_tk()))
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auto pos = p.pos();
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unsigned i = p.parse_small_nat();
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if (i == 0)
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throw parser_error("invalid tactic location, first occurrence is 1", pos);
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occs.push_back(i);
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if (!p.curr_is_token(get_comma_tk()))
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break;
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p.next();
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}
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p.next();
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if (has_pos)
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p.check_token_next(get_rcurly_tk(), "invalid tactic location, '}' or ',' expected");
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if (is_pos)
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return occurrence::mk_occurrences(occs);
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else
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return occurrence::mk_except_occurrences(occs);
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@ -88,7 +79,7 @@ location parse_tactic_location(parser & p) {
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} else {
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return location::mk_hypotheses_at(hyps, hyp_occs);
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}
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} else if (p.curr_is_token(get_lcurly_tk())) {
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} else if (p.curr_is_token(get_lcurly_tk()) || p.curr_is_token(get_sub_tk())) {
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occurrence o = parse_occurrence(p);
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return location::mk_goal_at(o);
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} else {
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@ -6,7 +6,7 @@ constant f {A : Type} : A → A → A
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theorem test1 {A : Type} [s : add_comm_group A] (a b c : A) : f (a + 0) (f (a + 0) (a + 0)) = f a (f (0 + a) a) :=
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begin
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rewrite [
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add_right_id at {1 3}, -- rewrite 1st and 3rd occurrences
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add_right_id at {1, 3}, -- rewrite 1st and 3rd occurrences
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{0 + _}add_comm] -- apply commutativity to (0 + _)
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end
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9
tests/lean/run/rewrite12.lean
Normal file
9
tests/lean/run/rewrite12.lean
Normal file
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@ -0,0 +1,9 @@
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import data.nat
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open nat
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variables (f : nat → nat → nat → nat) (a b c : nat)
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example (H₁ : a = b) (H₂ : f b a b = 0) : f a a a = 0 :=
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by rewrite ⟨H₁ at -{2}, H₂⟩
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example (H₁ : a = b) (H₂ : f b a b = 0) (H₃ : c = f a a a) : c = 0 :=
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by rewrite ⟨H₁ at H₃ -{2}, H₂ at H₃, H₃⟩
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@ -5,7 +5,7 @@ constant f {A : Type} : A → A → A
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theorem test1 {A : Type} [s : comm_ring A] (a b c : A) : f (a + 0) (f (a + 0) (a + 0)) = f a (f (0 + a) a) :=
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begin
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rewrite [add_zero at {1 3}, -- rewrite 1st and 3rd occurrences
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rewrite [add_zero at {1, 3}, -- rewrite 1st and 3rd occurrences
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{0 + _}add.comm] -- apply commutativity to (0 + _)
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end
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@ -16,7 +16,7 @@ axiom Ax {A : Type} [s₁ : has_mul A] [s₂ : has_zero A] (a : A) : f (a * 0) (
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theorem test2 {A : Type} [s : comm_ring A] (a b c : A) : f 0 0 = 0 :=
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begin
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rewrite [
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-(mul_zero a) at {1 2}, -- - means apply symmetry, rewrite 0 ==> a * 0 at 1st and 2nd occurrences
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-(mul_zero a) at {1, 2}, -- - means apply symmetry, rewrite 0 ==> a * 0 at 1st and 2nd occurrences
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Ax] -- use Ax as rewrite rule
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end
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