Commit 00258be3 authored by MARCHE Claude's avatar MARCHE Claude

more lemmas on Real.abs

parent 7a62e628
......@@ -48,6 +48,13 @@ theory Abs
lemma Abs_zero: forall x:real. abs x = 0.0 -> x = 0.0
*)
lemma Abs_sum: forall x y:real. abs(x+y) <= abs x + abs y
lemma Abs_prod: forall x y:real. abs(x*y) = abs x * abs y
lemma triangular_inequality:
forall x y z:real. abs(x-z) <= abs(x-y) + abs(y-z)
end
theory MinMax
......
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