43 lines
1.9 KiB
Text
43 lines
1.9 KiB
Text
737.lean:235:5: error: 2 unsolved subgoals
|
||
s t : ℕ+ → ℚ,
|
||
Hs : regular s,
|
||
Ht : regular t,
|
||
a b c j n : ℕ+,
|
||
Hn : pceil ((rat_of_pnat (K s) * (b⁻¹ + c⁻¹) + (a⁻¹ + c⁻¹) * rat_of_pnat (K t)) * rat_of_pnat j) ≤ n
|
||
⊢ 0 ≤ rat_of_pnat (K s) * (b⁻¹ + c⁻¹) + (a⁻¹ + c⁻¹) * rat_of_pnat (K t)
|
||
|
||
s t : ℕ+ → ℚ,
|
||
Hs : regular s,
|
||
Ht : regular t,
|
||
a b c j n : ℕ+,
|
||
Hn : pceil ((rat_of_pnat (K s) * (b⁻¹ + c⁻¹) + (a⁻¹ + c⁻¹) * rat_of_pnat (K t)) * rat_of_pnat j) ≤ n
|
||
⊢ 1 / ((rat_of_pnat (K s) * (b⁻¹ + c⁻¹) + (a⁻¹ + c⁻¹) * rat_of_pnat (K t)) * rat_of_pnat j) * (rat_of_pnat
|
||
(K s) * (b⁻¹ + c⁻¹) + (a⁻¹ + c⁻¹) * rat_of_pnat (K t)) ≤ j⁻¹
|
||
737.lean:228:4: error:invalid 'exact' tactic, term still contains metavariables after elaboration
|
||
show n⁻¹ * (rat_of_pnat (K s) * (b⁻¹ + c⁻¹)) + n⁻¹ * ((a⁻¹ + c⁻¹) * rat_of_pnat
|
||
(K t)) ≤ j⁻¹, from
|
||
?M_1
|
||
proof state:
|
||
s t : ℕ+ → ℚ,
|
||
Hs : regular s,
|
||
Ht : regular t,
|
||
a b c j n : ℕ+,
|
||
Hn : pceil ((rat_of_pnat (K s) * (b⁻¹ + c⁻¹) + (a⁻¹ + c⁻¹) * rat_of_pnat (K t)) * rat_of_pnat j) ≤ n
|
||
⊢ ?M_1 ≤ j⁻¹
|
||
|
||
s t : ℕ+ → ℚ,
|
||
Hs : regular s,
|
||
Ht : regular t,
|
||
a b c j n : ℕ+,
|
||
Hn : pceil ((rat_of_pnat (K s) * (b⁻¹ + c⁻¹) + (a⁻¹ + c⁻¹) * rat_of_pnat (K t)) * rat_of_pnat j) ≤ n
|
||
⊢ abs (s (a * n) * t (b * n) - s (a * n) * t (c * n)) + abs (s (a * n) * t (c * n) - s (c * n) * t (c * n)) ≤ ?M_1
|
||
737.lean:236:0: error: don't know how to synthesize placeholder
|
||
s t : ℕ+ → ℚ,
|
||
Hs : regular s,
|
||
Ht : regular t,
|
||
a b c j : ℕ+
|
||
⊢ ∃ (N : ℕ+), ∀ (n : ℕ+),
|
||
N ≤ n → abs (s (a * n) * t (b * n) - s (c * n) * t (c * n)) ≤ j⁻¹
|
||
737.lean:236:0: error: failed to add declaration 's.mul_bound_helper' to environment, value has metavariables
|
||
remark: set 'formatter.hide_full_terms' to false to see the complete term
|
||
?M_1
|