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Mirrors > Home > MPE Home > Th. List > alimex | Structured version Visualization version Unicode version |
Description: A utility theorem. An
interesting case is when the same formula is
substituted for both ![]() ![]() |
Ref | Expression |
---|---|
alimex |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | alex 1698 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | 1 | imbi2i 314 |
. 2
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3 | con2b 336 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
4 | 2, 3 | bitri 253 |
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 1669 ax-4 1682 |
This theorem depends on definitions: df-bi 189 df-ex 1664 |
This theorem is referenced by: (None) |
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