query: I don't understand how this formulation of Extensionality is valid
positive_passages.docid: 59820
positive_passages.text: ZF Extensionality axiom
negative_passages.docid: 17161
negative_passages.text: Can anyone make me understand in simple language why the second condition for being an Euclidean domain is superfluous?
negative_passages.docid: 107572
negative_passages.text: How does the derivative with respect to the complex conjugate even make sense?
negative_passages.docid: 55619
negative_passages.text: What does $\bigcup_{i=0}^{\infty}[i, i+2]$ mean?
negative_passages.docid: 27782
negative_passages.text: Why does this proof of the chain rule not work?
negative_passages.docid: 41298
negative_passages.text: Understanding proof of completeness of $L^{\infty}$
negative_passages.docid: 136577
negative_passages.text: In formal logic, how is it possible for an argument with a contradictory conclusion to be valid?
negative_passages.docid: 148500
negative_passages.text: Understanding this theorem and how to go about proving it surjectivity?
negative_passages.docid: 136584
negative_passages.text: Understanding connection between terms tautology, contradiction, contingent, satisfiable, unsatisfiable, valid and invalid
negative_passages.docid: 20218
negative_passages.text: Is this field extension finite?
negative_passages.docid: 118573
negative_passages.text: Why is the Axiom of Infinity necessary?
negative_passages.docid: 137494
negative_passages.text: Why is "If ψ ∈ Γ then the sequent (Γ ⊢ ψ) is correct" true?
negative_passages.docid: 12449
negative_passages.text: How to formulate continuum hypothesis without the axiom of choice?
negative_passages.docid: 104759
negative_passages.text: Is this response from the compiler valid?
negative_passages.docid: 50733
negative_passages.text: Help to understand material implication
negative_passages.docid: 95888
negative_passages.text: Justifying an Assumption Made While Deriving the Method of Variation of Parameters
negative_passages.docid: 53358
negative_passages.text: What does it mean to extend a function?