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Mathbox for David A. Wheeler |
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Mirrors > Home > ILE Home > Th. List > Mathboxes > alsc2d | Unicode version |
Description: Deduction rule: Given "all some" applied to a class, you can extract the "there exists" part. (Contributed by David A. Wheeler, 20-Oct-2018.) |
Ref | Expression |
---|---|
alsc2d.1 |
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Ref | Expression |
---|---|
alsc2d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | alsc2d.1 |
. . 3
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2 | df-alsc 14447 |
. . 3
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3 | 1, 2 | sylib 122 |
. 2
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4 | 3 | simprd 114 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 |
This theorem depends on definitions: df-bi 117 df-alsc 14447 |
This theorem is referenced by: (None) |
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