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Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-ex | Unicode version |
Description: Existential generalization. (Contributed by BJ, 8-Dec-2019.) Proof modification is discouraged because there are shorter proofs, but using less basic results (like exlimiv 1609 and 19.9ht 1652 or 19.23ht 1508). (Proof modification is discouraged.) |
Ref | Expression |
---|---|
bj-ex |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-ie2 1505 |
. . 3
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2 | ax-17 1537 |
. . 3
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3 | 1, 2 | mpg 1462 |
. 2
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4 | id 19 |
. 2
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5 | 3, 4 | mpgbi 1463 |
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-gen 1460 ax-ie2 1505 ax-17 1537 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: bj-d0clsepcl 15362 bj-inf2vnlem1 15407 bj-nn0sucALT 15415 |
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