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Mirrors > Home > ILE Home > Th. List > nfdisjv | Unicode version |
Description: Bound-variable hypothesis builder for disjoint collection. (Contributed by Jim Kingdon, 19-Aug-2018.) |
Ref | Expression |
---|---|
nfdisjv.1 | |
nfdisjv.2 |
Ref | Expression |
---|---|
nfdisjv | Disj |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfdisj2 3955 | . 2 Disj | |
2 | nfcv 2306 | . . . . . 6 | |
3 | nfdisjv.1 | . . . . . 6 | |
4 | 2, 3 | nfel 2315 | . . . . 5 |
5 | nfdisjv.2 | . . . . . 6 | |
6 | 5 | nfcri 2300 | . . . . 5 |
7 | 4, 6 | nfan 1552 | . . . 4 |
8 | 7 | nfmo 2033 | . . 3 |
9 | 8 | nfal 1563 | . 2 |
10 | 1, 9 | nfxfr 1461 | 1 Disj |
Colors of variables: wff set class |
Syntax hints: wa 103 wal 1340 wnf 1447 wmo 2014 wcel 2135 wnfc 2293 Disj wdisj 3953 |
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-tru 1345 df-nf 1448 df-sb 1750 df-eu 2016 df-mo 2017 df-cleq 2157 df-clel 2160 df-nfc 2295 df-rmo 2450 df-disj 3954 |
This theorem is referenced by: (None) |
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