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Mirrors > Home > ILE Home > Th. List > raleqi | Unicode version |
Description: Equality inference for restricted universal qualifier. (Contributed by Paul Chapman, 22-Jun-2011.) |
Ref | Expression |
---|---|
raleq1i.1 |
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Ref | Expression |
---|---|
raleqi |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | raleq1i.1 |
. 2
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2 | raleq 2499 |
. 2
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3 | 1, 2 | ax-mp 7 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 629 ax-5 1333 ax-7 1334 ax-gen 1335 ax-ie1 1379 ax-ie2 1380 ax-8 1392 ax-10 1393 ax-11 1394 ax-i12 1395 ax-bndl 1396 ax-4 1397 ax-17 1416 ax-i9 1420 ax-ial 1424 ax-i5r 1425 ax-ext 2019 |
This theorem depends on definitions: df-bi 110 df-tru 1245 df-nf 1347 df-sb 1643 df-cleq 2030 df-clel 2033 df-nfc 2164 df-ral 2305 |
This theorem is referenced by: ralrab2 2700 ralprg 3412 raltpg 3414 ralxp 4422 ralrnmpt2 5557 fzprval 8714 fztpval 8715 |
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