Boolean algebras/ Shelah/ Unclear step in the proof
Here on the page $10$, what does the displayed formula in the $6$th line
$$text {lg}(eta_ell)<omegaRightarrow bigcup{text{Rang}(nu_ell(k):k<text{lg}(nu_ell))}capbigcup_{k<omega}M_ksubseteq M_{n(*)}$$
show? I just cannot understand the consequence of the $subseteq$ relation in the r.h.s.
Moreover, why is the word
$text{Rang}$
there?
elementary-set-theory model-theory ordinals natural-numbers
asked Dec 8 at 17:03
user122424
1,0771616
add a comment |
Here on the page $10$, what does the displayed formula in the $6$th line
$$text {lg}(eta_ell)<omegaRightarrow bigcup{text{Rang}(nu_ell(k):k<text{lg}(nu_ell))}capbigcup_{k<omega}M_ksubseteq M_{n(*)}$$
show? I just cannot understand the consequence of the $subseteq$ relation in the r.h.s.
Moreover, why is the word
$text{Rang}$
there?
elementary-set-theory model-theory ordinals natural-numbers
asked Dec 8 at 17:03
user122424
1,0771616
add a comment |
Here on the page $10$, what does the displayed formula in the $6$th line
$$text {lg}(eta_ell)<omegaRightarrow bigcup{text{Rang}(nu_ell(k):k<text{lg}(nu_ell))}capbigcup_{k<omega}M_ksubseteq M_{n(*)}$$
show? I just cannot understand the consequence of the $subseteq$ relation in the r.h.s.
Moreover, why is the word
$text{Rang}$
there?
elementary-set-theory model-theory ordinals natural-numbers
asked Dec 8 at 17:03
user122424
1,0771616
Here on the page $10$, what does the displayed formula in the $6$th line
$$text {lg}(eta_ell)<omegaRightarrow bigcup{text{Rang}(nu_ell(k):k<text{lg}(nu_ell))}capbigcup_{k<omega}M_ksubseteq M_{n(*)}$$
show? I just cannot understand the consequence of the $subseteq$ relation in the r.h.s.
Moreover, why is the word
$text{Rang}$
there?
elementary-set-theory model-theory ordinals natural-numbers
elementary-set-theory model-theory ordinals natural-numbers
asked Dec 8 at 17:03
user122424
1,0771616
asked Dec 8 at 17:03
user122424
1,0771616
edited Dec 9 at 18:26
asked Dec 8 at 17:03
user122424
1,0771616
asked Dec 8 at 17:03
user122424
1,0771616
asked Dec 8 at 17:03
user122424
1,0771616
1,0771616
add a comment |
add a comment |
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