query: How can I prove this using ONLY (L1, L2, L3, MP) by 19 steps
positive_passages.docid: 151356
positive_passages.text: Need Hints Prove "$((\neg \alpha \to \alpha) \to \alpha) $" Using Axiom 1,2,3 and MP and deduction theorem
negative_passages.docid: 113593
negative_passages.text: How can I prove that $\frac{n^2}{x_1+x_2+\dots+x_n} \le \frac{1}{x_1}+ \frac{1}{x_2} +\dots+ \frac{1}{x_n}$?
negative_passages.docid: 107433
negative_passages.text: Prove the sum to n terms of the series
negative_passages.docid: 45323
negative_passages.text: How to prove $\vdash\neg P\to (P\to Q)$?
negative_passages.docid: 136427
negative_passages.text: Given $∃y.∀x.p(x,y)$, use the Fitch system to prove $∀x.∃y.p(x,y)$
negative_passages.docid: 138857
negative_passages.text: Proving an inequality by induction, how to figure out intermediate inductive steps?
negative_passages.docid: 109767
negative_passages.text: Prove that three points are enough to draw/define one and only one circle
negative_passages.docid: 154703
negative_passages.text: Use combinatorics to prove $L\left(n,k\right)=\sum_{j=0}^{n}{ n\brack j}{j\brace k}$
negative_passages.docid: 136459
negative_passages.text: Prove ${n - 1 \choose k - 1} + {n - 2 \choose k - 1} + {n - 3 \choose k - 1} + \dots + {k - 1 \choose k - 1} = {n \choose k}$
negative_passages.docid: 61671
negative_passages.text: Discrete Math: Writing Proofs
negative_passages.docid: 12803
negative_passages.text: Proof for number of weak compositions
negative_passages.docid: 76635
negative_passages.text: Proof through combinatorial argument
negative_passages.docid: 76188
negative_passages.text: Show $(W_1 + W_2 )^\perp = W_1^\perp \cap W_2^\perp$ and $W_1^\perp + W_2^\perp ⊆ (W_1 \cap W_2 )^\perp$
negative_passages.docid: 35091
negative_passages.text: How can I prove this sequence is decreasing?
negative_passages.docid: 145423
negative_passages.text: prove that if $1 \le m \le n$ then $\left(1+\frac1n\right)^m < 1+\frac mn + \left(\frac mn\right)^2$
negative_passages.docid: 95862
negative_passages.text: Prove that $t_{n-1, \alpha/2}$ is strictly decreasing in $n$
negative_passages.docid: 19804
negative_passages.text: How to prove that $|w_{n+1}-w_n| \leq (2/3)^2 |w_n - w_{n-1}|$?