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Consistency
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RelationalAlgebra/RA/RelationalAlgebra.lean

Lines changed: 5 additions & 5 deletions
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@@ -33,8 +33,8 @@ def selection (inst : RelationInstance α μ) (x y : α) : RelationInstance α
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/-- Difference on `S₁ S₂ : Set` of tuples. Result: tuples `t` where `t ∈ S₁ ∧ t ∉ S₂` -/
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@[simp]
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def differenceT (inTuplesA inTuplesB : Set (α →. μ)) : Set (α →. μ) :=
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inTuplesA \ inTuplesB
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def differenceT (inTuples inTuples' : Set (α →. μ)) : Set (α →. μ) :=
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inTuples \ inTuples'
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/-- Difference on `R₁ R₂ : RelationInstance` (`R₁ - R₂`) -/
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def difference (inst inst' : RelationInstance α μ) : RelationInstance α μ :=
@@ -179,11 +179,11 @@ theorem joinSingleT.restrict (t : α →. μ) {h : rs ⊆ t.Dom} :
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/--
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Join on `S₁ S₂ : Set` of tuples.
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Result: tuples which are the natural join of two arbitrary tuples in `inTuples1` and `inTuples2`
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Result: tuples which are the natural join of two arbitrary tuples in `inTuples` and `inTuples'`
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-/
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@[simp]
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def joinT (inTuples1 inTuples2 : Set (α →. μ)) : Set (α →. μ) :=
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{ t | ∃ t1 ∈ inTuples1, ∃ t2 ∈ inTuples2,
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def joinT (inTuples inTuples' : Set (α →. μ)) : Set (α →. μ) :=
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{ t | ∃ t1 ∈ inTuples, ∃ t2 ∈ inTuples',
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joinSingleT t t1 t2
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}
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