refactor(library/standard): remove parameter from 'tactic' inductive type
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
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3 changed files with 35 additions and 23 deletions
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@ -1,30 +1,32 @@
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-- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
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-- Released under Apache 2.0 license as described in the file LICENSE.
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-- Author: Leonardo de Moura
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import logic
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-- This is just a trick to embed the 'tactic language' as a
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-- Lean expression. We should view (tactic A) as automation
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-- that when execute produces a term of type A.
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-- Lean expression. We should view 'tactic' as automation
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-- that when execute produces a term.
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-- tactic_value is just a "dummy" for creating the "fake"
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inductive tactic (A : Type) : Type :=
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| tactic_value {} : tactic A
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-- definitions
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inductive tactic : Type :=
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| tactic_value : tactic
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-- Remark the following names are not arbitrary, the tactic module
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-- uses them when converting Lean expressions into actual tactic objects.
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-- The bultin 'by' construct triggers the process of converting a
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-- a term of type (tactic A) into a tactic that sythesizes a term
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-- of type A
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definition then_tac {A : Type} (t1 t2 : tactic A) : tactic A := tactic_value
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definition orelse_tac {A : Type} (t1 t2 : tactic A) : tactic A := tactic_value
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definition repeat_tac {A : Type} (t : tactic A) : tactic A := tactic_value
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definition now_tac {A : Type} : tactic A := tactic_value
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definition exact_tac {A : Type} : tactic A := tactic_value
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definition state_tac {A : Type} : tactic A := tactic_value
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definition fail_tac {A : Type} : tactic A := tactic_value
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definition id_tac {A : Type} : tactic A := tactic_value
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definition beta_tac {A : Type} : tactic A := tactic_value
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definition apply {A : Type} {B : Type} (b : B) : tactic A := tactic_value
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definition unfold_tac {A : Type} {B : Type} (b : B) : tactic A := tactic_value
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-- a term of type 'tactic' into a tactic that sythesizes a term
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definition then_tac (t1 t2 : tactic) : tactic := tactic_value
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definition orelse_tac (t1 t2 : tactic) : tactic := tactic_value
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definition repeat_tac (t : tactic) : tactic := tactic_value
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definition now_tac : tactic := tactic_value
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definition exact_tac : tactic := tactic_value
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definition state_tac : tactic := tactic_value
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definition fail_tac : tactic := tactic_value
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definition id_tac : tactic := tactic_value
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definition beta_tac : tactic := tactic_value
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definition apply {B : Type} (b : B) : tactic := tactic_value
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definition unfold_tac {B : Type} (b : B) : tactic := tactic_value
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infixl `;`:200 := then_tac
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infixl `|`:100 := orelse_tac
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notation `!`:max t:max := repeat_tac t
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@ -49,21 +49,31 @@ tactic expr_to_tactic(environment const & env, expr const & e, pos_info_provider
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}
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register_simple_tac::register_simple_tac(name const & n, std::function<tactic()> f) {
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register_expr_to_tactic(n, [=](environment const &, expr const &, pos_info_provider const *) {
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register_expr_to_tactic(n, [=](environment const &, expr const & e, pos_info_provider const *) {
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if (!is_constant(e))
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throw exception("invalid constant tactic");
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return f();
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});
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}
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register_bin_tac::register_bin_tac(name const & n, std::function<tactic(tactic const &, tactic const &)> f) {
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register_expr_to_tactic(n, [=](environment const & env, expr const & e, pos_info_provider const * p) {
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return f(expr_to_tactic(env, app_arg(app_fn(e)), p),
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expr_to_tactic(env, app_arg(e), p));
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buffer<expr> args;
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get_app_args(e, args);
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if (args.size() != 2)
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throw exception("invalid binary tactic, it must have two arguments");
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return f(expr_to_tactic(env, args[0], p),
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expr_to_tactic(env, args[1], p));
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});
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}
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register_unary_tac::register_unary_tac(name const & n, std::function<tactic(tactic const &)> f) {
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register_expr_to_tactic(n, [=](environment const & env, expr const & e, pos_info_provider const * p) {
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return f(expr_to_tactic(env, app_arg(e), p));
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buffer<expr> args;
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get_app_args(e, args);
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if (args.size() != 1)
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throw exception("invalid unary tactic, it must have one argument");
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return f(expr_to_tactic(env, args[0], p));
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});
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}
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@ -2,7 +2,7 @@ import standard
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definition id {A : Type} (a : A) := a
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definition simple_tac {A : Bool} : tactic A
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definition simple_tac {A : Bool} : tactic
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:= unfold_tac @id.{1}; exact_tac
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theorem tst {A B : Bool} (H1 : A) (H2 : B) : id A
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