query: Proving Existence of Multiplicative Inverse
positive_passages.docid: 156195
positive_passages.text: 1) Show that $(\Bbb Z[\sqrt2]^*, .)$ is infinite.
negative_passages.docid: 102307
negative_passages.text: Discrete Math Proofs Involving Real Numbers
negative_passages.docid: 20161
negative_passages.text: Prove that the multiplicative inverse of $a$ modulo $m$ exists if and only if $a$ and $m$ are coprime.
negative_passages.docid: 131905
negative_passages.text: Proof for exponentiation in modular arithmetic
negative_passages.docid: 33569
negative_passages.text: Use polar complex numbers to find multiplicative inverse
negative_passages.docid: 126698
negative_passages.text: measurability of a function -equivalent conditions
negative_passages.docid: 145875
negative_passages.text: Inverse of a bijection f is equal to its derivative
negative_passages.docid: 70264
negative_passages.text: Prove that the inverse image of an open set is open
negative_passages.docid: 100134
negative_passages.text: Proving existence of a surjection $2^{\aleph_0} \to \aleph_1$ without AC
negative_passages.docid: 157925
negative_passages.text: How to prove that the implicit function theorem implies the inverse function theorem?
negative_passages.docid: 67208
negative_passages.text: Can we say that there exist an integer $n$ such $A+nB$ invertible?
negative_passages.docid: 42809
negative_passages.text: How can we show that $(I-A)$ is invertible?
negative_passages.docid: 78307
negative_passages.text: Under what conditions is $AA^T$ invertible?
negative_passages.docid: 35034
negative_passages.text: Multiplicative inverses for $Z_n$
negative_passages.docid: 103550
negative_passages.text: Multiplicative Euclidean Function for an Euclidean Domain
negative_passages.docid: 94855
negative_passages.text: Prove if a (mod n) has a multiplicative inverse, then it's unique
negative_passages.docid: 35345
negative_passages.text: How do i prove invertibility of this linear transformation