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37 lines
998 B
Idris
37 lines
998 B
Idris
nats : List Nat -> List Nat
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nats ns = the (List Nat) ns
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singletonRange : nats [1..1] = nats [1]
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singletonRange = Refl
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basicIncreasingRange : nats [1..3] = nats [1, 2 , 3]
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basicIncreasingRange = Refl
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basicDecreasingRange : nats [3..1] = nats [3, 2, 1]
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basicDecreasingRange = Refl
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increasingRangeWithStep : nats [3, 5..11] = nats [3, 5, 7, 9, 11]
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increasingRangeWithStep = Refl
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increaingRangeWithStepEmpty : nats [3, 5..1] = nats []
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increaingRangeWithStepEmpty = Refl
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singletonRangeWithStep : nats [3, 4..3] = nats [3]
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singletonRangeWithStep = Refl
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zeroStepEmptyList : nats [3, 3..5] = nats []
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zeroStepEmptyList = Refl
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zeroStepWhenBoundEqual : nats [1, 1..1] = nats [1]
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zeroStepWhenBoundEqual = Refl
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decreasingRangeWithStep : nats [11, 8..1] = nats [11, 8, 5, 2]
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decreasingRangeWithStep = Refl
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decreasingRangeWithStepEmpty : nats [9, 8..10] = nats []
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decreasingRangeWithStepEmpty = Refl
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decreasingSingletonRangeWithStep : nats [9, 8..9] = nats [9]
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decreasingSingletonRangeWithStep = Refl
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