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  Lean 4 tactic prediction examples extracted from Mathlib.
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- ### Citation
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- ```
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- @misc{ntptutorial,
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- author = {Sean Welleck},
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- title = {Neural theorem proving tutorial},
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- year = {2023},
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- publisher = {GitHub},
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- journal = {GitHub repository},
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- howpublished = {\url{https://github.com/wellecks/ntptutorial}},
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- }
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- ```
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-
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  ### Version
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  Generated using `ntptutorial`'s `llm-training-data` with the following config:
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  'decl': 'theorem mem_annihilator_span (s : Set M) (r : R) :\n r ∈ (Submodule.span R s).annihilator ↔ ∀ n : s, r • (n : M) = 0 ',
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  'file_tag': 'Mathlib_RingTheory_Ideal_Operations'
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  }
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- ```
 
 
 
 
 
 
 
 
 
 
 
 
 
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  Lean 4 tactic prediction examples extracted from Mathlib.
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  ### Version
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  Generated using `ntptutorial`'s `llm-training-data` with the following config:
 
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  'decl': 'theorem mem_annihilator_span (s : Set M) (r : R) :\n r ∈ (Submodule.span R s).annihilator ↔ ∀ n : s, r • (n : M) = 0 ',
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  'file_tag': 'Mathlib_RingTheory_Ideal_Operations'
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  }
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+ ```
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+
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+ ### Citation
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+ ```
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+ @misc{ntptutorial,
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+ author = {Sean Welleck},
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+ title = {Neural theorem proving tutorial},
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+ year = {2023},
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+ publisher = {GitHub},
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+ journal = {GitHub repository},
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+ howpublished = {\url{https://github.com/wellecks/ntptutorial}},
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+ }
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+ ```