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Mirrors > Home > NFE Home > Th. List > r19.21t | Unicode version |
Description: Theorem 19.21 of [Margaris] p. 90 with restricted quantifiers (closed theorem version). (Contributed by NM, 1-Mar-2008.) |
Ref | Expression |
---|---|
r19.21t |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bi2.04 350 |
. . . 4
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2 | 1 | albii 1566 |
. . 3
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3 | 19.21t 1795 |
. . 3
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4 | 2, 3 | syl5bb 248 |
. 2
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5 | df-ral 2620 |
. 2
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6 | df-ral 2620 |
. . 3
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7 | 6 | imbi2i 303 |
. 2
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8 | 4, 5, 7 | 3bitr4g 279 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-11 1746 |
This theorem depends on definitions: df-bi 177 df-ex 1542 df-nf 1545 df-ral 2620 |
This theorem is referenced by: r19.21 2701 |
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