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Smaller numbers

Note that the googolisms in italic are ill-defined BEAF numbers beyond tetrational arrays, strong array notation numbers beyond s(a,b{1`2}2) and Extensible-E numbers beyond Hyper-Hyper-Extended Cascading-E notation, since many numbers are not formalized at the level, hence the order of entries does not necessarily imply the order of the sizes, but the order of the intended values, assuming these numbers to be well-defined.

\(f_{\Gamma_0}^2(10)\) ~ \(f_{\Gamma_1}^2(10)\)[]

\(f_{\Gamma_1}^2(10)\) ~ \(f_{\varphi(2,0,0)}^2(10)\)[]

\(f_{\varphi(2,0,0)}^2(10)\) ~ \(f_{\varphi(\omega,0,0)}^2(10)\)[]

\(f_{\varphi(\omega,0,0)}^2(10)\) ~ \(f_{\varphi(1,0,0,0)}^2(10)\)[]

\(f_{\varphi(1,0,0,0)}^2(10)\) ~ \(f_{\varphi(1,0,0,0,0)}^2(10)\)[]

\(f_{\varphi(1,0,0,0,0)}^2(10)\) ~ \(f_{\psi_0(\Omega^{\Omega^\omega})}^2(10)\)[]

\(f_{\psi_0(\Omega^{\Omega^\omega})}^2(10)\) ~ \(f_{\psi_0(\Omega^{\Omega^\Omega})}^2(10)\)[]

\(f_{\psi_0(\Omega^{\Omega^\Omega})}^2(10)\) ~ \(f_{\psi_0(\varepsilon_{\Omega+1})}^2(10)\)[]

Larger numbers