ThmUniversalClassInductive (3.58, Theorem): Class of all sets is successor-inductive (Peano-inductive)

Standalone kernel entity record from 3. Set/Class-Theoretic Foundations (3.01–3.78) — View in Complete Entity Database (#ThmUniversalClassInductive) →

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ThmUniversalClassInductive (3.58) — Class of all sets is successor-inductive (Peano-inductive)

Morse-Kelley / Von Neumann-Bernays-Gödel class comprehension, sethood, ordinals, Dunaev pairs, cardinals, universes, and reflection.

Num Entity Database Record (Vertical Field Table)
3.58
Title Class of all sets is successor-inductive (Peano-inductive) #ThmUniversalClassInductive #label-class-of-all-sets-is-successor-inductive-peano-inductive
Classification Theorem
Formula
0Ind(V)
0\(\href{../symbols/ind-pred.html}{\mathrm{Ind}} \href{../symbols/delimiters-brackets.html}{(} \href{../symbols/universal-class-const.html}{\mathbf{V}} \href{../symbols/delimiters-brackets.html}{)} \)
SML Kernel AST TpInd
Scheme of Types 0Ind(V)
Verification Verified (Kernel) · Standalone Entry (ThmUniversalClassInductive) → · (3.58) · #ThmUniversalClassInductive