DefRelationalImage (3.26, Definition): Image class

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

Formula Display:
Proof Trees:

DefRelationalImage (3.26) — Image class

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

Num Entity Database Record (Vertical Field Table)
3.26
Title Image class #DefRelationalImage #label-image-class
Classification Definition
Formula
0\(\href{../symbols/delimiters-brackets.html}{(} \href{../symbols/forall-binder.html}{\forall} \href{../symbols/delimiters-brackets.html}{(} \href{../symbols/variables.html}{f} \href{../symbols/typing-colon.html}{:} \href{../symbols/class-type.html}{\mathsf{Class}} \href{../symbols/delimiters-brackets.html}{)} \href{../symbols/forall-binder.html}{\forall} \href{../symbols/delimiters-brackets.html}{(} \href{../symbols/variables.html}{A} \href{../symbols/typing-colon.html}{:} \href{../symbols/class-type.html}{\mathsf{Class}} \href{../symbols/delimiters-brackets.html}{)} \href{../symbols/delimiters-brackets.html}{(} \href{../symbols/variables.html}{f} \href{../symbols/image-op.html}{[} \href{../symbols/variables.html}{A} \href{../symbols/image-op.html}{]} \href{../symbols/eq-pred.html}{=} \href{../symbols/class-comprehension.html}{\{} \href{../symbols/variables.html}{b} \href{../symbols/class-comprehension.html}{ \mid } \href{../symbols/exists-binder.html}{\exists} \href{../symbols/delimiters-brackets.html}{(} \href{../symbols/variables.html}{a} \href{../symbols/typing-colon.html}{:} \href{../symbols/class-type.html}{\mathsf{Class}} \href{../symbols/delimiters-brackets.html}{)} \href{../symbols/delimiters-brackets.html}{(} \href{../symbols/delimiters-brackets.html}{(} \href{../symbols/variables.html}{a} \href{../symbols/in-pred.html}{\in} \href{../symbols/variables.html}{A} \href{../symbols/delimiters-brackets.html}{)} \href{../symbols/and-conn.html}{\land} \href{../symbols/delimiters-brackets.html}{(} \href{../symbols/variables.html}{f} \href{../symbols/delimiters-brackets.html}{(} \href{../symbols/variables.html}{a} \href{../symbols/delimiters-brackets.html}{)} \href{../symbols/eq-pred.html}{=} \href{../symbols/variables.html}{b} \href{../symbols/delimiters-brackets.html}{)} \href{../symbols/delimiters-brackets.html}{)} \href{../symbols/class-comprehension.html}{\}} \href{../symbols/delimiters-brackets.html}{)} \href{../symbols/delimiters-brackets.html}{)} \)
SML Kernel AST CpImage
Scheme of Types 0(∀([f@Variable]:[Class@Type])∀([A@Variable]:[Class@Type])([f@Class.Expression][[A@Class.Expression]]={[b@Class.Expression]|∃([a@Variable]:[Class@Type])(([a@Class.Expression]∈[A@Class.Expression])∧([f@Class.Expression]([a@Class.Expression])=[b@Class.Expression]))}))
Verification Definitional (Kernel AST) · Standalone Entry (DefRelationalImage) → · (3.26) · #DefRelationalImage