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INIT rbt.agda
author soto <soto@cr.ie.u-ryukyu.ac.jp>
date Sun, 07 Nov 2021 00:51:16 +0900
parents c59202657321
children
line wrap: on
line source

open import Relation.Binary.PropositionalEquality
open import nat
open import nat_add
open !$\equiv$!-Reasoning

module nat_add_sym where

addSym : (n m : Nat) !$\rightarrow$! n + m !$\equiv$! m + n
addSym O       O   = refl
addSym O    (S m)  = cong S (addSym O m)
addSym (S n)   O   = cong S (addSym n O) 
addSym (S n) (S m) = {!!} -- 後述