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ajeffrey@roblox.com 2022-04-26 13:32:42 -05:00
parent f6d3981936
commit 658fce4631
3 changed files with 12 additions and 1 deletions
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1
prototyping/Properties.agda
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@ -6,6 +6,7 @@ import Properties.Contradiction
import Properties.Dec
import Properties.Equality
import Properties.Functions
import Properties.FunctionTypes
import Properties.Remember
import Properties.Step
import Properties.StrictMode

9
prototyping/Properties/Subtyping.agda
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@ -230,6 +230,15 @@ language-comp (function-err t) (function-err p) (function-err q) = language-comp
<:-function-∪-∩ (function-err s) (function-err (right p)) = right (function-err p)
-- Properties of scalars
skalar-function-ok : ∀ {t} → (¬Language skalar (function-ok t))
skalar-function-ok = (scalar-function-ok number , (scalar-function-ok string , (scalar-function-ok nil , scalar-function-ok boolean)))
scalar-∩-function-<:-never : ∀ {S T U} → (Scalar S) → ((T ⇒ U) ∩ S) <: never
scalar-∩-function-<:-never number .(scalar number) (() , scalar number)
scalar-∩-function-<:-never boolean .(scalar boolean) (() , scalar boolean)
scalar-∩-function-<:-never string .(scalar string) (() , scalar string)
scalar-∩-function-<:-never nil .(scalar nil) (() , scalar nil)
function-≮:-scalar : ∀ {S T U} → (Scalar U) → ((S ⇒ T) ≮: U)
function-≮:-scalar s = witness function function (scalar-function s)

3
prototyping/Properties/TypeNormalization.agda
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@ -2,7 +2,8 @@
module Properties.TypeNormalization where
open import Luau.Type using (Type; Scalar; nil; number; string; boolean; never; unknown; _⇒_; _∪_; _∩_; src)
open import Luau.Type using (Type; Scalar; nil; number; string; boolean; never; unknown; _⇒_; _∪_; _∩_)
open import Luau.Subtyping using (scalar-function-err)
open import Luau.TypeNormalization using (_∪ⁿ_; _∩ⁿ_; _∪ᶠ_; _∪ⁿˢ_; _∩ⁿˢ_; normalize)
open import Luau.Subtyping using (_<:_)
open import Properties.Subtyping using (<:-trans; <:-refl; <:-unknown; <:-never; <:-∪-left; <:-∪-right; <:-∪-lub; <:-∩-left; <:-∩-right; <:-∩-glb; <:-∩-symm; <:-function; <:-function-∪-∩; <:-function-∩-∪; <:-function-∪; <:-everything; <:-union; <:-∪-assocl; <:-∪-assocr; <:-∪-symm; <:-intersect; ∪-distl-∩-<:; ∪-distr-∩-<:; <:-∪-distr-∩; <:-∪-distl-∩; ∩-distl-∪-<:; <:-∩-distl-∪; <:-∩-distr-∪; scalar-∩-function-<:-never; scalar-≢-∩-<:-never)