Is this Modular arithmetic property true?
29204
$a\equiv\bar a\!\pmod{\!kn}\Rightarrow a\equiv\bar a\!\pmod{\! n};\ $ $(a\bmod kn)\bmod n=a\bmod n.\ $ Congruences persist mod factors of the modulus
71788
Prove existence of multiplicative inverse modulo p when p is prime
21476
Modular Exponentiation 3^5^7
36031
Finding modular of a fraction
31162
What is the meaning of modular fractions?
52542
For which odd positive integer $n$ , is it true that $-1$ is not a positive power of $2$ modulo $n$?
8784
modulo version of the quadratic formula and Euler's criterion
29231
Proof of : $x^{n}\equiv x^{\varphi(m)+[n \bmod \varphi(m)]} \mod m$
97196
$k^{\phi(l)} + l^{\phi(k)} \equiv1\pmod{lk}\,$ if $\,\gcd(l,k)=1$
58803
${n \choose k} \bmod m$ using Chinese remainder theorem?
60268
$\textit{Why}$ the cases in 4 $\nmid n^2 - 3?$ (bases cases in modular induction)
110703
How Can I prove (a+b) mod m = (a mod m) + (b mod m)) mod m?
1712
$ d_1,d_2\mid n\iff {\rm lcm}(d_1,d_2)\mid n\ $ [LCM Universal Property]
68252
Chinese Remainder Theorem solvability for non-coprime moduli
34323
Prove that $a^{(p-1)/2} \equiv 1$ (mod p) and $a^{(p-1)/2} \equiv -1 \pmod p$
129381
Modular equation problem
38727
Modular Exponentiation and Primes