43 lines
1.5 KiB
C++
43 lines
1.5 KiB
C++
/*
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Copyright (c) 2013 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 "kernel/builtin.h"
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#include "library/basic_thms.h"
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#include "library/arith/arith.h"
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#include "frontends/lean/frontend.h"
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namespace lean {
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/**
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\brief Initialize builtin notation.
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*/
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void init_builtin_notation(environment const & env, io_state & ios, bool kernel_only) {
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env->import_builtin(
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"lean_notation",
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[&]() {
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// mark_implicit_arguments(env, mk_if_fn(), 1);
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if (kernel_only)
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return;
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add_alias(env, "ℝ", Real);
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add_infixl(env, ios, "+", 65, mk_real_add_fn());
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add_infixl(env, ios, "-", 65, mk_real_sub_fn());
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add_prefix(env, ios, "-", 75, mk_real_neg_fn());
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add_infixl(env, ios, "*", 70, mk_real_mul_fn());
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add_infixl(env, ios, "/", 70, mk_real_div_fn());
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add_mixfixc(env, ios, {"|", "|"}, 55, mk_real_abs_fn());
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add_infix(env, ios, "<=", 50, mk_real_le_fn());
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add_infix(env, ios, "\u2264", 50, mk_real_le_fn()); // ≤
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add_infix(env, ios, ">=", 50, mk_real_ge_fn());
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add_infix(env, ios, "\u2265", 50, mk_real_ge_fn()); // ≥
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add_infix(env, ios, "<", 50, mk_real_lt_fn());
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add_infix(env, ios, ">", 50, mk_real_gt_fn());
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add_coercion(env, mk_int_to_real_fn());
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add_coercion(env, mk_nat_to_real_fn());
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});
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}
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}
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