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Mirrors > Home > MPE Home > Th. List > eqsbc3r | Structured version Visualization version Unicode version |
Description: eqsbc3 3274 with setvar variable on right side of equals sign. This proof was automatically generated from the virtual deduction proof eqsbc3rVD 37232 using a translation program. (Contributed by Alan Sare, 24-Oct-2011.) |
Ref | Expression |
---|---|
eqsbc3r |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqcom 2458 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | 1 | sbcbii 3290 |
. . . . 5
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3 | 2 | biimpi 199 |
. . . 4
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4 | eqsbc3 3274 |
. . . 4
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5 | 3, 4 | syl5ib 227 |
. . 3
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6 | eqcom 2458 |
. . 3
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7 | 5, 6 | syl6ib 234 |
. 2
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8 | idd 25 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
9 | 8, 6 | syl6ibr 235 |
. . . 4
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10 | 9, 4 | sylibrd 242 |
. . 3
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11 | 10, 2 | syl6ibr 235 |
. 2
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12 | 7, 11 | impbid 195 |
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 1672 ax-4 1685 ax-5 1761 ax-6 1808 ax-7 1854 ax-10 1918 ax-11 1923 ax-12 1936 ax-13 2091 ax-ext 2431 |
This theorem depends on definitions: df-bi 190 df-or 376 df-an 377 df-tru 1450 df-ex 1667 df-nf 1671 df-sb 1801 df-clab 2438 df-cleq 2444 df-clel 2447 df-v 3014 df-sbc 3235 |
This theorem is referenced by: sbcoreleleq 36896 sbcoreleleqVD 37252 |
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