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Mirrors > Home > MPE Home > Th. List > hblem | Structured version Visualization version Unicode version |
Description: Change the free variable of a hypothesis builder. Lemma for nfcrii 2595. (Contributed by NM, 21-Jun-1993.) (Revised by Andrew Salmon, 11-Jul-2011.) |
Ref | Expression |
---|---|
hblem.1 |
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Ref | Expression |
---|---|
hblem |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hblem.1 |
. . 3
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2 | 1 | hbsb 2280 |
. 2
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3 | clelsb3 2567 |
. 2
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4 | 3 | albii 1701 |
. 2
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5 | 2, 3, 4 | 3imtr3i 273 |
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 1679 ax-4 1692 ax-5 1768 ax-6 1815 ax-7 1861 ax-10 1925 ax-11 1930 ax-12 1943 ax-13 2101 ax-ext 2441 |
This theorem depends on definitions: df-bi 190 df-or 376 df-an 377 df-ex 1674 df-nf 1678 df-sb 1808 df-cleq 2454 df-clel 2457 |
This theorem is referenced by: nfcrii 2595 bnj1311 29881 |
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