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Why3
why3
Commits
7efae3f8
Commit
7efae3f8
authored
Jul 01, 2011
by
MARCHE Claude
Browse files
more lemmas on div real
parent
a1e3ab18
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theories/algebra.why
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7efae3f8
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@@ -89,6 +89,19 @@ theory Field
function inv t : t
axiom Inverse : forall x:t. x <> zero -> x * inv x = one
function (/) (x y : t) : t = x * inv y
lemma assoc_mul_div: forall x y z:real.
(* todo: discard the hypothesis ? *)
z <> zero -> (x*y)/z = x*(y/z)
lemma assoc_div_mul: forall x y z:real.
(* todo: discard the hypothesis ? *)
y <> zero /\ z <> zero -> (x/y)/z = x/(y*z)
lemma assoc_div_div: forall x y z:real.
(* todo: discard the hypothesis ? *)
y <> zero /\ z <> zero -> x/(y/z) = (x*z)/y
end
theory OrderedField
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