11 lines
288 B
Text
11 lines
288 B
Text
Lemma transparent_plus_zero: forall n, n + O = n.
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intros n; induction n.
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- reflexivity.
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- simpl; rewrite IHn; trivial.
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Defined.
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Lemma transparent_plus_S: forall n m, n + S m = S n + m .
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intros n; induction n; intros m.
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- reflexivity.
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- simpl; f_equal; rewrite IHn; reflexivity.
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Defined.
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