DanilaFe/agda-spa
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

Expose bundles and apply so renames to IterProd

Browse Source 
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
This commit is contained in:
Danila Fedorin 2024-02-11 21:10:51 -08:00
parent 6e26aa1580
commit bfb32092c2
1 changed files with 11 additions and 17 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

28
Lattice/IterProd.agda
View File

@ -21,17 +21,14 @@ IterProd k = iterate k (λ t → A × t) B
-- records, perform the recursion, and unpackage. -- records, perform the recursion, and unpackage.
private module _ where private module _ where
BLattice : Lattice B lattice : ∀ {k : ℕ} → Lattice (IterProd k)
BLattice = record lattice {0} = record
{ _≈_ = _≈₂_ { _≈_ = _≈₂_
; _⊔_ = _⊔₂_ ; _⊔_ = _⊔₂_
; _⊓_ = _⊓₂_ ; _⊓_ = _⊓₂_
; isLattice = lB ; isLattice = lB
} }
lattice {suc k'} = record
IterProdLattice : ∀ {k : ℕ} → Lattice (IterProd k)
IterProdLattice {0} = BLattice
IterProdLattice {suc k'} = record
{ _≈_ = _≈_ { _≈_ = _≈_
; _⊔_ = _⊔_ ; _⊔_ = _⊔_
; _⊓_ = _⊓_ ; _⊓_ = _⊓_
@ -39,7 +36,7 @@ private module _ where
} }
where where
Right : Lattice (IterProd k') Right : Lattice (IterProd k')
Right = IterProdLattice {k'} Right = lattice {k'}
open import Lattice.Prod open import Lattice.Prod
_≈₁_ (Lattice._≈_ Right) _≈₁_ (Lattice._≈_ Right)
@ -48,7 +45,7 @@ private module _ where
lA (Lattice.isLattice Right) lA (Lattice.isLattice Right)
module _ (k : ℕ) where module _ (k : ℕ) where
open Lattice.Lattice (IterProdLattice {k}) public open Lattice.Lattice (lattice {k}) public
module _ (≈₁-dec : IsDecidable _≈₁_) (≈₂-dec : IsDecidable _≈₂_) module _ (≈₁-dec : IsDecidable _≈₁_) (≈₂-dec : IsDecidable _≈₂_)
(h₁ h₂ : ℕ) (h₁ h₂ : ℕ)
@ -67,8 +64,8 @@ module _ (≈₁-dec : IsDecidable _≈₁_) (≈₂-dec : IsDecidable _≈₂_)
open IsFiniteHeightLattice isFiniteHeightLattice public open IsFiniteHeightLattice isFiniteHeightLattice public
BFiniteHeightLattice : FiniteHeightAndDecEq B finiteHeightAndDec : ∀ {k : ℕ} → FiniteHeightAndDecEq (IterProd k)
BFiniteHeightLattice = record finiteHeightAndDec {0} = record
{ height = h₂ { height = h₂
; _≈_ = _≈₂_ ; _≈_ = _≈₂_
; _⊔_ = _⊔₂_ ; _⊔_ = _⊔₂_
@ -79,10 +76,7 @@ module _ (≈₁-dec : IsDecidable _≈₁_) (≈₂-dec : IsDecidable _≈₂_)
} }
; ≈-dec = ≈₂-dec ; ≈-dec = ≈₂-dec
} }
finiteHeightAndDec {suc k'} = record
IterProdFiniteHeightLattice : ∀ {k : ℕ} → FiniteHeightAndDecEq (IterProd k)
IterProdFiniteHeightLattice {0} = BFiniteHeightLattice
IterProdFiniteHeightLattice {suc k'} = record
{ height = h₁ + FiniteHeightAndDecEq.height Right { height = h₁ + FiniteHeightAndDecEq.height Right
; _≈_ = P._≈_ ; _≈_ = P._≈_
; _⊔_ = P._⊔_ ; _⊔_ = P._⊔_
@ -94,7 +88,7 @@ module _ (≈₁-dec : IsDecidable _≈₁_) (≈₂-dec : IsDecidable _≈₂_)
; ≈-dec = ≈-dec ≈₁-dec (FiniteHeightAndDecEq.≈-dec Right) ; ≈-dec = ≈-dec ≈₁-dec (FiniteHeightAndDecEq.≈-dec Right)
} }
where where
Right = IterProdFiniteHeightLattice {k'} Right = finiteHeightAndDec {k'}
open import Lattice.Prod open import Lattice.Prod
_≈₁_ (FiniteHeightAndDecEq._≈_ Right) _≈₁_ (FiniteHeightAndDecEq._≈_ Right)
@ -103,10 +97,10 @@ module _ (≈₁-dec : IsDecidable _≈₁_) (≈₂-dec : IsDecidable _≈₂_)
lA (FiniteHeightAndDecEq.isLattice Right) as P lA (FiniteHeightAndDecEq.isLattice Right) as P
module _ (k : ℕ) where module _ (k : ℕ) where
open FiniteHeightAndDecEq (IterProdFiniteHeightLattice {k}) using (isFiniteHeightLattice) public open FiniteHeightAndDecEq (finiteHeightAndDec {k}) using (isFiniteHeightLattice) public
private private
FHD = IterProdFiniteHeightLattice {k} FHD = finiteHeightAndDec {k}
finiteHeightLattice : FiniteHeightLattice (IterProd k) finiteHeightLattice : FiniteHeightLattice (IterProd k)
finiteHeightLattice = record finiteHeightLattice = record