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Mirrors > Home > ILE Home > Th. List > nfrel | Unicode version |
Description: Bound-variable hypothesis builder for a relation. (Contributed by NM, 31-Jan-2004.) (Revised by Mario Carneiro, 15-Oct-2016.) |
Ref | Expression |
---|---|
nfrel.1 |
Ref | Expression |
---|---|
nfrel |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-rel 4605 | . 2 | |
2 | nfrel.1 | . . 3 | |
3 | nfcv 2306 | . . 3 | |
4 | 2, 3 | nfss 3130 | . 2 |
5 | 1, 4 | nfxfr 1461 | 1 |
Colors of variables: wff set class |
Syntax hints: wnf 1447 wnfc 2293 cvv 2721 wss 3111 cxp 4596 wrel 4603 |
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 699 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-nfc 2295 df-ral 2447 df-in 3117 df-ss 3124 df-rel 4605 |
This theorem is referenced by: nffun 5205 |
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