How to prove that $\alpha^p = 1$ using induction?
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Proving that $n$-cycle has order $n$
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Prove by Induction : $n < 2^n$
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How do I show that $a^p + b^p > (a + b)^p$ for $a,b>0$ and $0<p<1$?
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Proof by induction: $n^{n+1} > (n + 1)^n$, $(1 + x)^n \ge 1 + nx$, other inequalities
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Proving that $n!≤((n+1)/2)^n$ by induction
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Proving that $1+x^py^{1-p} \le (1+x)^p(1+y)^{1-p}$
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Induction: prove using congruences
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Prove by induction that $n < 2^n$ for all $n \ge 1$
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can we a prove ⊢ (α → α) → (α → α)
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Proof $\sum_{k=1}^n (-1)^{k+1} \binom{n}{k}\frac{1}{k} = H_n$ by induction
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Need help with Proof by Strong Induction question
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Proof by induction (power rule of the derivative)
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Proof by induction that $a_0 = 1, a_1 = 1, a_n=2a_{n-1} + 3a_{n-2}$ satisfies $a_n = \frac12 (3^n) + \frac12 (-1)^n$
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Proof by Induction involving Inequality and Factorials as denominators
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How prove this equation $\alpha=\aleph_{0}\alpha$
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Proving this inequality by mathematical induction
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Prove by induction that $(x+1)^n - nx - 1$ is divisible by $x^2$