New Foundations Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > NFE Home > Th. List > nfin | Unicode version |
Description: Hypothesis builder for intersection. (Contributed by SF, 2-Jan-2018.) |
Ref | Expression |
---|---|
nfbool.1 | |
nfbool.2 |
Ref | Expression |
---|---|
nfin |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-in 3213 | . 2 ∼ &ncap | |
2 | nfbool.1 | . . . 4 | |
3 | nfbool.2 | . . . 4 | |
4 | 2, 3 | nfnin 3228 | . . 3 &ncap |
5 | 4 | nfcompl 3229 | . 2 ∼ &ncap |
6 | 1, 5 | nfcxfr 2486 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wnfc 2476 &ncap cnin 3204 ∼ ccompl 3205 cin 3208 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-nan 1288 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-clab 2340 df-cleq 2346 df-clel 2349 df-nfc 2478 df-nin 3211 df-compl 3212 df-in 3213 |
This theorem is referenced by: nfdif 3232 csbing 3462 nfres 4936 |
Copyright terms: Public domain | W3C validator |