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