lean4-htt/library/init/char.lean
2016-09-24 16:38:39 -07:00

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/-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.fin
open nat
def char_sz : nat := succ 255
def char := fin char_sz
namespace char
/- We cannot use tactic dec_trivial here because the tactic framework has not been defined yet. -/
private lemma zero_lt_char_sz : 0 < char_sz :=
zero_lt_succ _
@[pattern] def of_nat (n : nat) : char :=
if H : n < char_sz then fin.mk n H else fin.mk 0 zero_lt_char_sz
def to_nat (c : char) : nat :=
fin.val c
end char
instance : decidable_eq char :=
have decidable_eq (fin char_sz), from fin.decidable_eq _,
this
instance : inhabited char :=
⟨'A'⟩