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Mirrors > Home > ILE Home > Th. List > cbvrex2v | Unicode version |
Description: Change bound variables of double restricted universal quantification, using implicit substitution. (Contributed by FL, 2-Jul-2012.) |
Ref | Expression |
---|---|
cbvrex2v.1 | |
cbvrex2v.2 |
Ref | Expression |
---|---|
cbvrex2v |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbvrex2v.1 | . . . 4 | |
2 | 1 | rexbidv 2415 | . . 3 |
3 | 2 | cbvrexv 2632 | . 2 |
4 | cbvrex2v.2 | . . . 4 | |
5 | 4 | cbvrexv 2632 | . . 3 |
6 | 5 | rexbii 2419 | . 2 |
7 | 3, 6 | bitri 183 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wrex 2394 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-nf 1422 df-sb 1721 df-cleq 2110 df-clel 2113 df-nfc 2247 df-rex 2399 |
This theorem is referenced by: eroveu 6488 genipv 7285 bezoutlemnewy 11611 xmettx 12606 |
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