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General information about the project

Project title (My formalization project): Tactic Learning Author (use \and to separate authors if needed) (catmeow123456): Cat in PKU URL of GitHub repository (https://github.com/catmeow123456/TacticLearning): URL of project website (https://catmeow123456.github.io/TacticLearning): URL of project API documentation (https://catmeow123456.github.io/TacticLearning/docs)

TacticLearning

TODO list

进度 文件名 内容
T rwneq 对条件或目标检查是否是任意类型的不等式,如果是,则进行不等式传递的化简
T assumption 尝试将所有条件和 goal 匹配
F neqsimp1 自动检查条件中的不等式是否可以通过传递性证明 goal
F apply 给定 a -> b 和 b,将目标转换成 a
T myExactSymm Given a statement, try to close the goal with that or with its symm
T myAssumption Given a statement, try to close the goal with some hyps or its symm version
T showtype Display/Showdecl.lean 给定一个类型,返回与该类型匹配的所有假设。有用的函数: ListLocalDeclWithTypeFvarIdsToMessageData
T addhyp name : coeff id of poly Poly/ComputeDegree.lean 添加一个假设,该假设的形式为 poly.coeff i = ... 即这个 Tactic 帮我们自动计算了某个具体多项式的某一项系数
T continuous 判断连续函数是否连续的简易 tactic
F continuity/fun_prop 研究库中已经实现的 Tactic
F differentialat 判断是否可微分
F compute_deriv 计算初等函数(包括其复合)的导数
F set_minimal 对于给定集合 s ,求出其最小元素 a,证明 a 是它最小元

Reference

一些重要的学习资料

siddhartha-gadgil 在 github 上和 youtube 上发布的 Meta Programming 教程和例子。 https://github.com/siddhartha-gadgil/MetaExamples.git https://www.youtube.com/watch?v=Ix8zSpsfbDk&list=PL_bVGic_CrGtMw1QVFRLRsZjcymm56mRi

Lean 官网的 Meta Programming 教程: https://leanprover-community.github.io/lean4-metaprogramming-book/main/01_intro.html

Lean 官网的 Functional Programming 教程(包含一些函数式编程基础概念的应用例子): https://leanprover.github.io/functional_programming_in_lean/

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