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Toby Bartels (talk | contribs) m Typos. |
Toby Bartels (talk | contribs) m Remove weird space. |
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This schema states (in one form), for any functional predicate <i>F</i> in one variable:
: ∀ <i>A</i>, ∃ <i>B</i>, ∀ <i>C</i>, <i>C</i> ∈ <i>A</i> → <i>F</i>(<i>C</i>) ∈ <i>B</i>.
: ∀ <i>A</i>, ∃ <i>B</i>, ∀ <i>C</i>, <i>C</i> ∈ <i>A</i> → <i>D</i> ∈ <i>B</i>.
Of course, this statment isn't correct; <i>D</i> must be quantified over just after <i>C</i>:
: ∀ <i>A</i>, ∃ <i>B</i>, ∀ <i>C</i>, ∀ <i>D</i>, <i>C</i> ∈ <i>A</i> → <i>D</i> ∈ <i>B</i>.
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