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Mirrors > Home > MPE Home > Th. List > pwjust | Structured version Visualization version Unicode version |
Description: Soundness justification theorem for df-pw 3965. (Contributed by Rodolfo Medina, 28-Apr-2010.) (Proof shortened by Andrew Salmon, 29-Jun-2011.) |
Ref | Expression |
---|---|
pwjust |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sseq1 3465 |
. . 3
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2 | 1 | cbvabv 2586 |
. 2
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3 | sseq1 3465 |
. . 3
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4 | 3 | cbvabv 2586 |
. 2
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5 | 2, 4 | eqtri 2484 |
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 1680 ax-4 1693 ax-5 1769 ax-6 1816 ax-7 1862 ax-10 1926 ax-11 1931 ax-12 1944 ax-13 2102 ax-ext 2442 |
This theorem depends on definitions: df-bi 190 df-or 376 df-an 377 df-tru 1458 df-ex 1675 df-nf 1679 df-sb 1809 df-clab 2449 df-cleq 2455 df-clel 2458 df-in 3423 df-ss 3430 |
This theorem is referenced by: (None) |
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