116 lines
4.6 KiB
C++
116 lines
4.6 KiB
C++
/*
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Copyright (c) 2015 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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*/
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#pragma once
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#include <memory>
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#include "kernel/environment.h"
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#include "library/io_state.h"
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#include "library/reducible.h"
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#include "library/tmp_type_context.h"
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namespace lean {
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/** \brief Helper for creating simple applications where some arguments are inferred using
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type inference.
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Example, given
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rel.{l_1 l_2} : Pi (A : Type.{l_1}) (B : A -> Type.{l_2}), (Pi x : A, B x) -> (Pi x : A, B x) -> , Prop
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nat : Type.{1}
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real : Type.{1}
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vec.{l} : Pi (A : Type.{l}) (n : nat), Type.{l1}
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f g : Pi (n : nat), vec real n
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then
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builder.mk_app(rel, f, g)
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returns the application
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rel.{1 2} nat (fun n : nat, vec real n) f g
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*/
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class app_builder {
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struct imp;
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std::unique_ptr<imp> m_ptr;
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public:
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app_builder(environment const & env, io_state const & ios, reducible_behavior b = UnfoldReducible);
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app_builder(environment const & env, reducible_behavior b = UnfoldReducible);
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app_builder(tmp_type_context & ctx);
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~app_builder();
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/** \brief Create an application (d.{_ ... _} _ ... _ args[0] ... args[nargs-1]).
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The missing arguments and universes levels are inferred using type inference.
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\remark The method returns none_expr if: not all arguments can be inferred;
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or constraints are created during type inference; or an exception is thrown
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during type inference.
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\remark This methods uses just higher-order pattern matching.
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*/
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optional<expr> mk_app(name const & c, unsigned nargs, expr const * args);
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optional<expr> mk_app(name const & c, std::initializer_list<expr> const & args) {
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return mk_app(c, args.size(), args.begin());
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}
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optional<expr> mk_app(name const & c, expr const & a1) {
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return mk_app(c, {a1});
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}
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optional<expr> mk_app(name const & c, expr const & a1, expr const & a2) {
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return mk_app(c, {a1, a2});
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}
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optional<expr> mk_app(name const & c, expr const & a1, expr const & a2, expr const & a3) {
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return mk_app(c, {a1, a2, a3});
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}
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optional<expr> mk_app(name const & c, unsigned mask_sz, bool const * mask, expr const * args);
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/** \brief Similar to mk_app(n, lhs, rhs), but handles eq and iff more efficiently. */
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optional<expr> mk_rel(name const & n, expr const & lhs, expr const & rhs);
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optional<expr> mk_eq(expr const & lhs, expr const & rhs);
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optional<expr> mk_iff(expr const & lhs, expr const & rhs);
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/** \brief Similar a reflexivity proof for the given relation */
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optional<expr> mk_refl(name const & relname, expr const & a);
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optional<expr> mk_eq_refl(expr const & a);
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optional<expr> mk_iff_refl(expr const & a);
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/** \brief Similar a symmetry proof for the given relation */
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optional<expr> mk_symm(name const & relname, expr const & H);
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optional<expr> mk_eq_symm(expr const & H);
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optional<expr> mk_iff_symm(expr const & H);
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/** \brief Similar a transitivity proof for the given relation */
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optional<expr> mk_trans(name const & relname, expr const & H1, expr const & H2);
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optional<expr> mk_eq_trans(expr const & H1, expr const & H2);
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optional<expr> mk_iff_trans(expr const & H1, expr const & H2);
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/** \brief Create a (non-dependent) eq.rec application.
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C is the motive. The expected types for C, H1 and H2 are
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C : A -> Type
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H1 : C a
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H2 : a = b
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The resultant application is
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@eq.rec A a C H1 b H2
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In the HoTT library, we actually create an eq.nrec application
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since eq.rec is a dependent eliminator in HoTT. */
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optional<expr> mk_eq_rec(expr const & C, expr const & H1, expr const & H2);
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/** \brief Create a (dependent) eq.drec application.
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C is the motive. The expected types for C, H1 and H2 are
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C : Pi (x : A), a = x -> Type
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H1 : C a (eq.refl a)
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H2 : a = b
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The resultant application is
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@eq.drec A a C H1 b H2
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In the HoTT library, we actually create an eq.rec application
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because eq.rec is a dependent eliminator in HoTT. */
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optional<expr> mk_eq_drec(expr const & C, expr const & H1, expr const & H2);
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/** \brief Set the local instances. This method is relevant when we want to expose local class instances
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to the app_builder.
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\remark When the constructor app_builder(tmp_type_context & ctx) is used
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the initialization can be performed outside. */
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void set_local_instances(list<expr> const & insts);
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};
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}
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