Proof with trivial.
intros; unfold conflict in |- *; case (Rle_dec (Die T T) ConflictRange);
intro...
cut (0 <= T)%R...
intro; generalize (no_conflict_lt_min_t T H2 H H0 H1); intro;
cut (e T = Die T T)...
intro; rewrite H4 in H3;
elim
(Rlt_irrefl (Die T T) (Rle_lt_trans (Die T T) ConflictRange (Die T T) r H3))...
left; apply Rlt_le_trans with MinT; [ apply MinT_is_pos | apply (cond_1 T) ]...
Qed.

(* Specifications: *)
Theorem no_conflict_Omega :
(ConflictRange + v (vi intr) < l)%R ->
(rho_vi * T <= PI - rho_vi)%R ->
Omega (beta + thetat intr 0) = true -> conflict T = false.