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Mirrors > Home > ILE Home > Th. List > sb8eh | Unicode version |
Description: Substitution of variable in existential quantifier. (Contributed by NM, 12-Aug-1993.) (Proof rewritten by Jim Kingdon, 15-Jan-2018.) |
Ref | Expression |
---|---|
sb8eh.1 |
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Ref | Expression |
---|---|
sb8eh |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sb8eh.1 |
. 2
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2 | 1 | hbsb3 1818 |
. 2
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3 | sbequ12 1781 |
. 2
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4 | 1, 2, 3 | cbvexh 1765 |
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 ax-ia3 108 ax-5 1457 ax-7 1458 ax-gen 1459 ax-ie1 1503 ax-ie2 1504 ax-8 1514 ax-11 1516 ax-4 1520 ax-17 1536 ax-i9 1540 ax-ial 1544 |
This theorem depends on definitions: df-bi 117 df-sb 1773 |
This theorem is referenced by: exsb 2019 |
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