Find if the following propositions are True or False. Type in T or F for the corresponding proposition.

$($a$)A{A}_{\text{n}\text{i}\text{n}\text{N}}$:$n2nE{E}_{\text{m}\text{i}\text{n}\{1,2,3\}}E{E}_{\text{n}\text{i}\text{n}\{8,9,10\}}$:$m=nA{A}_{\text{n}\text{i}\text{n}\text{Z}}$:$n+1-n>0A{A}_{\text{n}\text{i}\text{n}\text{Z}}A{A}_{\text{m}\text{i}\text{n}\text{N}}$:$n=mE{E}_{\text{n}\text{i}\text{n}\text{Z}}$:$\frac{1}{n}!in{Q}^{{?}^{?}}n0(\frac{T}{F})$:$A{A}_{\text{n}\text{i}\text{n}\text{Z}}E{E}_{\text{m}\text{i}\text{n}\text{Z}}$:$m$

$(b)A{A}_{\text{n}\text{i}\text{n}\text{N}}$:$n2n$

$(c)E{E}_{\text{m}\text{i}\text{n}\{1,2,3\}}E{E}_{\text{n}\text{i}\text{n}\{8,9,10\}}$:$m=n$

$(d)A{A}_{\text{n}\text{i}\text{n}\text{Z}}$:$n+1-n>0$

$(e)A{A}_{\text{n}\text{i}\text{n}\text{Z}}A{A}_{\text{m}\text{i}\text{n}\text{N}}$:$n=m$

$(f)E{E}_{\text{n}\text{i}\text{n}\text{Z}}$:$\frac{1}{n}!in{Q}^{{?}^{?}}n0$

$a.(\frac{T}{F})$: $b.(\frac{T}{F})$: $c.(\frac{T}{F})$: $$

$d.(\frac{T}{F})$: $e.(\frac{T}{F})$: $f.(\frac{T}{F})$: $$