diff options
| author | Chloe Brown <chloe.brown.00@outlook.com> | 2021-03-05 00:22:20 +0000 |
|---|---|---|
| committer | Chloe Brown <chloe.brown.00@outlook.com> | 2021-03-05 00:22:20 +0000 |
| commit | 90c7597b6f80e0bd5bb2a9a7245d097d40486518 (patch) | |
| tree | f106450275fb3375d0346a2f02e72f6537f8c5cc /src/Cfe/Language/Base.agda | |
| parent | 9c5540562f53be81bfb03ef2b96d7f59b3ddea44 (diff) | |
Prove lemma 3.3
Diffstat (limited to 'src/Cfe/Language/Base.agda')
| -rw-r--r-- | src/Cfe/Language/Base.agda | 4 |
1 files changed, 4 insertions, 0 deletions
diff --git a/src/Cfe/Language/Base.agda b/src/Cfe/Language/Base.agda index c34de30..74854df 100644 --- a/src/Cfe/Language/Base.agda +++ b/src/Cfe/Language/Base.agda @@ -21,6 +21,7 @@ open import Relation.Binary.PropositionalEquality as ≡ using (_≡_) open import Relation.Binary.Indexed.Heterogeneous infix 4 _∈_ +infix 4 _∉_ Language : ∀ a aℓ → Set (suc c ⊔ suc a ⊔ suc aℓ) Language a aℓ = IndexedSetoid (List C) a aℓ @@ -58,6 +59,9 @@ Lift b bℓ A = record _∈_ : ∀ {a aℓ} → List C → Language a aℓ → Set a _∈_ = flip 𝕃 +_∉_ : ∀ {a aℓ} → List C → Language a aℓ → Set a +l ∉ A = l ∈ A → ⊥ + ∈-cong : ∀ {a aℓ} → (A : Language a aℓ) → ∀ {l₁ l₂} → l₁ ≡ l₂ → l₁ ∈ A → l₂ ∈ A ∈-cong A ≡.refl l∈A = l∈A |