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Commit 12607aca authored by François Clément's avatar François Clément
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Make it strong!

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......@@ -215,7 +215,8 @@ Context {E : AffineSpace V}.
Lemma transl_EX :
{ f | forall (A : E), cancel (vect A) (f A) /\ cancel (f A) (vect A) }.
Proof.
assert (H : forall A : E, exists ! f, cancel (vect A) f /\ cancel f (vect A)).
assert (H : forall A : E, { f | unique (fun g => cancel (vect A) g /\ cancel g (vect A)) f }).
intros A; destruct (vect_l_bij_EX )
intros A; destruct (vect_l_bij A) as [f Hf1 Hf2]; exists f; split; [easy |].
intros f' [Hf'1 Hf'2]; apply fun_ext; intros u.
apply (vect_l_inj A); rewrite Hf2 Hf'2; easy.
......
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