content: {-# LANGUAGE BangPatterns              #-}
  {-# LANGUAGE EmptyCase                 #-}
  {-# LANGUAGE EmptyDataDecls            #-}
  {-# LANGUAGE ExistentialQuantification #-}
  {-# LANGUAGE NoMonomorphismRestriction #-}
  {-# LANGUAGE OverloadedStrings         #-}
  {-# LANGUAGE PatternSynonyms           #-}
  {-# LANGUAGE RankNTypes                #-}
  {-# LANGUAGE ScopedTypeVariables       #-}
  
  {-# OPTIONS_GHC -Wno-overlapping-patterns #-}
  
  module MAlonzo.Code.Data.Integer.Properties.NatLemmas where
  
  import Data.Text qualified
  import MAlonzo.Code.Agda.Builtin.Equality qualified
  import MAlonzo.RTE (AgdaAny, add64, addInt, coe, eq64, eqInt, erased, geqInt, lt64, ltInt, mul64,
                      mulInt, quot64, quotInt, rem64, remInt, sub64, subInt, word64FromNat,
                      word64ToNat)
  import MAlonzo.RTE qualified
  
  -- Data.Integer.Properties.NatLemmas.inner-assoc
  d_inner'45'assoc_14 ::
    Integer ->
    Integer ->
    Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
  d_inner'45'assoc_14 = erased
  -- Data.Integer.Properties.NatLemmas.assoc-comm
  d_assoc'45'comm_34 ::
    Integer ->
    Integer ->
    Integer ->
    Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
  d_assoc'45'comm_34 = erased
  -- Data.Integer.Properties.NatLemmas.assoc-comm′
  d_assoc'45'comm'8242'_58 ::
    Integer ->
    Integer ->
    Integer ->
    Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
  d_assoc'45'comm'8242'_58 = erased
  -- Data.Integer.Properties.NatLemmas.assoc₁
  d_assoc'8321'_80 ::
    Integer ->
    Integer ->
    Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
  d_assoc'8321'_80 = erased
  -- Data.Integer.Properties.NatLemmas.assoc₂
  d_assoc'8322'_96 ::
    Integer ->
    Integer ->
    Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
  d_assoc'8322'_96 = erased
  -- Data.Integer.Properties.NatLemmas.assoc₃
  d_assoc'8323'_110 ::
    Integer ->
    Integer ->
    Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
  d_assoc'8323'_110 = erased
  -- Data.Integer.Properties.NatLemmas.assoc₄
  d_assoc'8324'_126 ::
    Integer ->
    Integer ->
    Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
  d_assoc'8324'_126 = erased
  