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7
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1 -- after push 1 and 2, pop2 get 1 and 2
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2
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3 testStack02 : {m : Level } @$\rightarrow$@ ( Stack @$\mathbb{N}$@ (SingleLinkedStack @$\mathbb{N}$@) @$\rightarrow$@ Bool {m} ) @$\rightarrow$@ Bool {m}
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4 testStack02 cs = pushStack createSingleLinkedStack 1 (\s @$\rightarrow$@ pushStack s 2 cs)
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5
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6
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7 testStack031 : (d1 d2 : $\mathbb{N}$ ) @$\rightarrow$@ Bool {Zero}
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8 testStack031 2 1 = True
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9 testStack031 _ _ = False
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10
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11 testStack032 : (d1 d2 : Maybe @$\mathbb{N}$@) @$\rightarrow$@ Bool {Zero}
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12 testStack032 (Just d1) (Just d2) = testStack031 d1 d2
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13 testStack032 _ _ = False
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14
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15 testStack03 : {m : Level } @$\rightarrow$@ Stack @$\mathbb{N}$@ (SingleLinkedStack @$\mathbb{N}$@) @$\rightarrow$@ ((Maybe @$\mathbb{N}$@) @$\rightarrow$@ (Maybe @$\mathbb{N}$@) @$\rightarrow$@ Bool {m} ) @$\rightarrow$@ Bool {m}
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16 testStack03 s cs = pop2Stack s (\s d1 d2 @$\rightarrow$@ cs d1 d2 )
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17
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18 testStack04 : Bool
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19 testStack04 = testStack02 (\s @$\rightarrow$@ testStack03 s testStack032)
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20
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21 testStack05 : testStack04 @$\equiv$@ True
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22 testStack05 = refl
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