45 lines
807 B
Text
45 lines
807 B
Text
structure point (A : Type) (B : Type) :=
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mk :: (x : A) (y : B)
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check point
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check @ point.rec
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check point.mk
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check point.x
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check point.y
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check point.rec_on
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check point.induction_on
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check point.destruct
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inductive color
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| red | green | blue
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structure color_point (A : Type) (B : Type) extends point A B :=
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mk :: (c : color)
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check @color_point.rec_on
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check color_point.rec_on
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check color_point.to_point
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section
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variables a b : num
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example : point.x (point.mk a b) = a :=
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rfl
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example : point.y (point.mk a b) = b :=
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rfl
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variables cc : color
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example : color_point.x (color_point.mk a b cc) = a :=
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rfl
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example : color_point.y (color_point.mk a b cc) = b :=
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rfl
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example : color_point.c (color_point.mk a b cc) = cc :=
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rfl
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example : color_point.to_point (color_point.mk a b cc) = point.mk a b :=
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rfl
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end
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