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Mirrors > Home > ILE Home > Th. List > rexcom | Unicode version |
Description: Commutation of restricted quantifiers. (Contributed by NM, 19-Nov-1995.) (Revised by Mario Carneiro, 14-Oct-2016.) |
Ref | Expression |
---|---|
rexcom |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2258 | . 2 | |
2 | nfcv 2258 | . 2 | |
3 | 1, 2 | rexcomf 2570 | 1 |
Colors of variables: wff set class |
Syntax hints: 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-nf 1422 df-sb 1721 df-cleq 2110 df-clel 2113 df-nfc 2247 df-rex 2399 |
This theorem is referenced by: rexcom13 2573 rexcom4 2683 iuncom 3789 xpiundi 4567 addcomprg 7354 mulcomprg 7356 ltexprlemm 7376 caucvgprprlemexbt 7482 suplocexprlemml 7492 suplocexprlemmu 7494 qmulz 9383 caubnd2 10857 sqrt2irr 11767 |
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