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cleanup
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bmtrager committed Dec 4, 2024
1 parent 8d29a6d commit cffd1ea
Showing 1 changed file with 6 additions and 6 deletions.
12 changes: 6 additions & 6 deletions coq/QLearn/jaakkola_vector.v
Original file line number Diff line number Diff line change
Expand Up @@ -5202,10 +5202,10 @@ Section jaakola_vector2.
Rabs ((FiniteConditionalExpectation _ (filt_sub k) ((vecrvnth i pf (XF k)))) ω) <= (γ * (Rvector_max_abs (X k ω))))) ->

(forall i pf,
is_lim_seq'_uniform_almost (fun n => fun ω => sum_n (fun k => rvsqr (vecrvnth i pf (α k)) ω) n)
is_lim_seq'_uniform_almost (fun n ω => sum_n (fun k => rvsqr (vecrvnth i pf (α k)) ω) n)
(fun ω => Lim_seq (sum_n (fun k => rvsqr (vecrvnth i pf (α k)) ω)))) ->
(forall i pf,
is_lim_seq'_uniform_almost (fun n => fun ω => sum_n (fun k => rvsqr (vecrvnth i pf (β k)) ω) n)
is_lim_seq'_uniform_almost (fun n ω => sum_n (fun k => rvsqr (vecrvnth i pf (β k)) ω) n)
(fun ω => Lim_seq (sum_n (fun k => rvsqr (vecrvnth i pf (β k)) ω)))) ->
(exists (C : R),
(0 < C) /\
Expand Down Expand Up @@ -5960,10 +5960,10 @@ Section jaakola_vector2.
forall k i pf,
Rabs ((FiniteConditionalExpectation _ (filt_sub k) ((vecrvnth i pf (XF k)))) ω) <= (γ * (Rvector_max_abs (X k ω))))) ->
(forall i pf,
is_lim_seq'_uniform_almost (fun n => fun ω => sum_n (fun k => rvsqr (vecrvnth i pf (α k)) ω) n)
is_lim_seq'_uniform_almost (fun n ω => sum_n (fun k => rvsqr (vecrvnth i pf (α k)) ω) n)
(fun ω => Lim_seq (sum_n (fun k => rvsqr (vecrvnth i pf (α k)) ω)))) ->
(forall i pf,
is_lim_seq'_uniform_almost (fun n => fun ω => sum_n (fun k => rvsqr (vecrvnth i pf (β k)) ω) n)
is_lim_seq'_uniform_almost (fun n ω => sum_n (fun k => rvsqr (vecrvnth i pf (β k)) ω) n)
(fun ω => Lim_seq (sum_n (fun k => rvsqr (vecrvnth i pf (β k)) ω)))) ->
(exists (C : R),
(0 < C) /\
Expand Down Expand Up @@ -6474,10 +6474,10 @@ Section jaakola_vector2.
(pos_scaled_Rvector_max_abs ((vector_FiniteConditionalExpectation _ (filt_sub k) (XF k)) ω) W) <
(γ * (pos_scaled_Rvector_max_abs (X k ω) W)))) ->
(forall i pf,
is_lim_seq'_uniform_almost (fun n => fun ω => sum_n (fun k => rvsqr (vecrvnth i pf (α k)) ω) n)
is_lim_seq'_uniform_almost (fun n ω => sum_n (fun k => rvsqr (vecrvnth i pf (α k)) ω) n)
(fun ω => Lim_seq (sum_n (fun k => rvsqr (vecrvnth i pf (α k)) ω)))) ->
(forall i pf,
is_lim_seq'_uniform_almost (fun n => fun ω => sum_n (fun k => rvsqr (vecrvnth i pf (β k)) ω) n)
is_lim_seq'_uniform_almost (fun n ω => sum_n (fun k => rvsqr (vecrvnth i pf (β k)) ω) n)
(fun ω => Lim_seq (sum_n (fun k => rvsqr (vecrvnth i pf (β k)) ω)))) ->
(exists (C : R),
(0 < C) /\
Expand Down

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