Show that $f=g$ a.e on $[a,b]$ implies thats $f=g$ on $[a,b]$.
72847
Does $f(x)$ is continuous and $f = 0$ a.e. imply $f=0$ everywhere?
49143
Showing $A \subset B \iff A\cap B=A$
111756
How do I prove that then $f(x) = 1$ for some $x ∈ [0, 1]$?
120960
$f,g$ such that $\int fg = \int f \int g$
107659
Let $f:A \to B$ and $g:B\to A$ be arbitrary functions.
89514
Show that if $g \circ f$ is injective, then so is $f$.
88928
$F:G\to B$ is an isomorphism between groups implies $F^{-1}$ is an isomorphism
98816
How to prove that $\{f+g<a\}=\bigcup_{r\in{\Bbb Q}}(\{f<r\}\cap\{g<a-r\})$?
91947
Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$
66748
Show that if $a \equiv b \pmod n$, $\gcd(a,n)=\gcd(b,n)$
13575
Need help for proving that: $f(f^{-1}(A)) ⊆ A$
47135
Prove if a = b, then f(a) = f(b) for any function f (with natural deduction)
62455
Prove Equivalence Relation in G
22995
Let f:G to H be 1-1 homomorphism show that order of f(a) divides the order of G.
1364
Let $G$ be a group in which $a^2=e$ for all elements of $a$ of $G$. Show that $G$ is Abelian.
48780
How t show $f=g$ almost everywhere
76790
Condition to guarantee $f=0$ on $[a,b]$