Ceiling Function Proof from First Principles?
46039
Prove that if $x \in R,$ then there exists $n \in Z$ satisfying $x \leq n < x+1$
144633
Verification of proof involving logarithms and limits
50804
It seems obvious, but how to prove it formally?
82803
Prove that $\lfloor\lfloor x/2 \rfloor / 2 \rfloor = \lfloor x/4 \rfloor$
17440
Differentiation using first principles with rational powers
143248
What approach should I take to establish this logical proof?
82739
Why is $\alpha \rightarrow \forall x(\alpha)$ not generally correct in first-order logic?
24478
What is the name of this theorem, and are there any caveats?
5934
How to prove floor identities?
133082
In Peano arithmetic, can we define inequality using successor?
27844
How do we prove that $\lfloor0.999\cdots\rfloor = \lfloor 1 \rfloor$?
52990
Rigorously proving equal tension on both ends
98372
Proof of the principle of backwards induction
101824
Proving zeros inside a disk using Maximum Principle?
40048
Finding the fallacy in this broken proof
125950
Proof strategy involving first order logic for existential quantification at very beginning
138092
What is $\lfloor i\rfloor$?