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author | Chloe Brown <chloe.brown.00@outlook.com> | 2021-03-27 20:32:03 +0000 |
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committer | Chloe Brown <chloe.brown.00@outlook.com> | 2021-03-27 20:32:03 +0000 |
commit | adad5280af0d81a2f171df619e9c7169dcb43a02 (patch) | |
tree | c537696feea2aec1688d398bf5fd93e76f72c702 /src/Cfe/Language/Indexed/Construct/Iterate.agda | |
parent | c67134fc5cb9e338cb397df029e5528d469771d4 (diff) |
Introduce non-terminating proof of derivation existence.
Diffstat (limited to 'src/Cfe/Language/Indexed/Construct/Iterate.agda')
-rw-r--r-- | src/Cfe/Language/Indexed/Construct/Iterate.agda | 3 |
1 files changed, 3 insertions, 0 deletions
diff --git a/src/Cfe/Language/Indexed/Construct/Iterate.agda b/src/Cfe/Language/Indexed/Construct/Iterate.agda index 1a37326..0ae9100 100644 --- a/src/Cfe/Language/Indexed/Construct/Iterate.agda +++ b/src/Cfe/Language/Indexed/Construct/Iterate.agda @@ -73,6 +73,9 @@ module _ where module Iter = IndexedLanguage (Iterate f) + fⁿ≤⋃f : ∀ f n → (f ^ n) (Lift a ∅) ≤ ⋃ f + fⁿ≤⋃f f n = record { f = n ,_ } + ⋃-cong : ∀ {f g} → (∀ {x y} → x ≈ y → f x ≈ g y) → ⋃ f ≈ ⋃ g ⋃-cong f≈g = record { f = λ { (n , l∈fn) → n , _≈_.f (f≈g⇒fn≈gn (L.setoid a) f≈g n (Lift a ∅)) l∈fn} |