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agdaproofs/Groups/Polynomials/Examples.agda
2019-11-17 17:37:10 +00:00

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{-# OPTIONS --safe --warning=error --without-K #-}
open import LogicalFormulae
open import Groups.Groups
open import Groups.Homomorphisms.Definition
open import Groups.Definition
open import Numbers.Naturals.Definition
open import Numbers.Integers.Integers
open import Numbers.Integers.Definition
open import Setoids.Orders
open import Setoids.Setoids
open import Functions
open import Sets.EquivalenceRelations
open import Vectors
open import Lists.Lists
open import Maybe
open import Agda.Primitive using (Level; lzero; lsuc; _⊔_)
module Groups.Polynomials.Examples where
open import Groups.Polynomials.Definition Group
private
decide : _
decide = (λ a DecideEquality a (nonneg 0))
p1 : degree decide [] no
p1 = refl
p2 : degree decide (nonneg 0 :: []) no
p2 = refl
p3 : degree decide (nonneg 1 :: []) yes 0
p3 = refl