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Mirrors > Home > ILE Home > Th. List > cbvexdva | Unicode version |
Description: Rule used to change the bound variable in an existential quantifier with implicit substitution. Deduction form. (Contributed by David Moews, 1-May-2017.) |
Ref | Expression |
---|---|
cbvaldva.1 |
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Ref | Expression |
---|---|
cbvexdva |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1539 |
. 2
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2 | nfvd 1540 |
. 2
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3 | cbvaldva.1 |
. . 3
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4 | 3 | ex 115 |
. 2
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5 | 1, 2, 4 | cbvexd 1939 |
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 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 |
This theorem depends on definitions: df-bi 117 df-nf 1472 |
This theorem is referenced by: cbvexdvaw 1943 cbvrexdva2 2734 acexmid 5909 tfrlemi1 6376 ltexpri 7663 recexpr 7688 |
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