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您如何使用 agda-stdlib 对用户定义的方程式关系进行方程式推理？

[英]How do you do equational reasoning for user defined equational relations with agda-stdlib?

原文 2022-10-03 13:09:51 7 1 equality/ agda/ theorem-proving

agda-stdlib has facilities for doing equational reasoning for various specific library defined relations ( example ). agda-stdlib 具有为各种特定库定义的关系（示例）进行等式推理的工具。 It also has a type that identifies equality relations defined here .它还有一个类型，用于标识此处定义的相等关系。 What is the easiest way for me to get access to the same facilities for equational reason I get with propositional equality.出于等式原因，我通过命题平等获得相同设施的最简单方法是什么。

1 个解决方案

The kit is defined in Relation.Binary.Reasoning.Setoid .该工具包在Relation.Binary.Reasoning.Setoid中定义。

You only need to define a proof S that your relation defines a Setoid and then you can open import Relation.Binary.Reasoning.Setoid S to get the equational reasoning combinators.您只需要定义一个证明S ，证明您的关系定义了一个Setoid ，然后您可以open import Relation.Binary.Reasoning.Setoid S来获取等式推理组合器。

Isabelle / isar：实施等式推理 - Isabelle / isar: Implementing equational reasoning

你如何在C中比较结构的相等性？ - How do you compare structs for equality in C?

如何将可空int与int进行比较 - How do you compare a nullable int to an int

你如何测试函数和闭包的相等性？ - How do you test functions and closures for equality?

你如何比较两个任意COM对象（你可以得到任意对象的CLSID？） - how do you compare two arbitrary COM objects (can you get CLSID for arbitrary object?)

如何测试双精度值是否等于 NaN？ - How do you test to see if a double is equal to NaN?

如何检测相同类型的两个对象中的所有变量是否都相同？ - How do you detect if all the variables in two objects of the same type are the same?

如何检查用户给定输入的字符串是否等于 Python 中的某个字母/单词 - How do I check if a string with a user given input is equal to a certain letter/ word in Python

在类中重写__eq__时，还需要重写__hash__吗？ - When you override __eq__ in a class, do you also need to override __hash__?

Agda中的平等 - 无关的论点 - Equality in Agda - irrelevant arguments

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相关问题 Isabelle / isar：实施等式推理 - Isabelle / isar: Implementing equational reasoning 你如何在C中比较结构的相等性？ - How do you compare structs for equality in C? 如何将可空int与int进行比较 - How do you compare a nullable int to an int 你如何测试函数和闭包的相等性？ - How do you test functions and closures for equality? 你如何比较两个任意COM对象（你可以得到任意对象的CLSID？） - how do you compare two arbitrary COM objects (can you get CLSID for arbitrary object?) 如何测试双精度值是否等于 NaN？ - How do you test to see if a double is equal to NaN? 如何检测相同类型的两个对象中的所有变量是否都相同？ - How do you detect if all the variables in two objects of the same type are the same? 如何检查用户给定输入的字符串是否等于 Python 中的某个字母/单词 - How do I check if a string with a user given input is equal to a certain letter/ word in Python 在类中重写__eq__时，还需要重写__hash__吗？ - When you override __eq__ in a class, do you also need to override __hash__? Agda中的平等 - 无关的论点 - Equality in Agda - irrelevant arguments

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