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Mirrors > Home > MPE Home > Th. List > spcimedv | Unicode version |
Description: Restricted existential specialization, using implicit substitution. (Contributed by Mario Carneiro, 4-Jan-2017.) |
Ref | Expression |
---|---|
spcimdv.1 |
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spcimedv.2 |
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Ref | Expression |
---|---|
spcimedv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | spcimdv.1 |
. . . 4
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2 | spcimedv.2 |
. . . . 5
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3 | 2 | con3d 127 |
. . . 4
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4 | 1, 3 | spcimdv 2993 |
. . 3
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5 | 4 | con2d 109 |
. 2
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6 | df-ex 1548 |
. 2
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7 | 5, 6 | syl6ibr 219 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem is referenced by: hashf1rn 11591 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 ax-gen 1552 ax-5 1563 ax-17 1623 ax-9 1662 ax-8 1683 ax-6 1740 ax-7 1745 ax-11 1757 ax-12 1946 ax-ext 2385 |
This theorem depends on definitions: df-bi 178 df-an 361 df-tru 1325 df-ex 1548 df-nf 1551 df-sb 1656 df-clab 2391 df-cleq 2397 df-clel 2400 df-nfc 2529 df-v 2918 |
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