1bf1290570
Motivation: auxiliary recursors such as `brecOn` do not depend on user-facing projection definitions anymore. Thus, we can simplify `whnfCore` at `TypeUtil`.
84 lines
2.5 KiB
C++
84 lines
2.5 KiB
C++
/*
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Copyright (c) 2018 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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#include "util/name_generator.h"
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#include "kernel/type_checker.h"
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#include "library/util.h"
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#include "library/constants.h"
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namespace lean {
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static name * g_constructions_fresh = nullptr;
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static level get_level(type_checker & ctx, expr const & A) {
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expr S = ctx.whnf(ctx.infer(A));
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if (!is_sort(S))
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throw exception("invalid expression, sort expected");
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return sort_level(S);
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}
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expr mk_and_intro(type_checker & ctx, expr const & Ha, expr const & Hb) {
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return mk_app(mk_constant(get_and_intro_name()), ctx.infer(Ha), ctx.infer(Hb), Ha, Hb);
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}
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expr mk_and_left(type_checker &, expr const & H) {
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return mk_proj(get_and_name(), nat(0), H);
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}
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expr mk_and_right(type_checker &, expr const & H) {
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return mk_proj(get_and_name(), nat(1), H);
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}
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expr mk_pprod(type_checker & ctx, expr const & A, expr const & B) {
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level l1 = get_level(ctx, A);
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level l2 = get_level(ctx, B);
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return mk_app(mk_constant(get_pprod_name(), {l1, l2}), A, B);
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}
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expr mk_pprod_mk(type_checker & ctx, expr const & a, expr const & b) {
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expr A = ctx.infer(a);
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expr B = ctx.infer(b);
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level l1 = get_level(ctx, A);
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level l2 = get_level(ctx, B);
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return mk_app(mk_constant(get_pprod_mk_name(), {l1, l2}), A, B, a, b);
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}
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expr mk_pprod_fst(type_checker &, expr const & p) {
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return mk_proj(get_pprod_name(), nat(0), p);
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}
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expr mk_pprod_snd(type_checker &, expr const & p) {
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return mk_proj(get_pprod_name(), nat(1), p);
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}
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expr mk_pprod(type_checker & ctx, expr const & a, expr const & b, bool prop) {
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return prop ? mk_and(a, b) : mk_pprod(ctx, a, b);
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}
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expr mk_pprod_mk(type_checker & ctx, expr const & a, expr const & b, bool prop) {
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return prop ? mk_and_intro(ctx, a, b) : mk_pprod_mk(ctx, a, b);
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}
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expr mk_pprod_fst(type_checker & ctx, expr const & p, bool prop) {
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return prop ? mk_and_left(ctx, p) : mk_pprod_fst(ctx, p);
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}
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expr mk_pprod_snd(type_checker & ctx, expr const & p, bool prop) {
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return prop ? mk_and_right(ctx, p) : mk_pprod_snd(ctx, p);
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}
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name_generator mk_constructions_name_generator() {
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return name_generator(*g_constructions_fresh);
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}
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void initialize_constructions_util() {
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g_constructions_fresh = new name("_cnstr_fresh");
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register_name_generator_prefix(*g_constructions_fresh);
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}
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void finalize_constructions_util() {
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delete g_constructions_fresh;
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}
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}
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