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Mirrors > Home > NFE Home > Th. List > nfcxfr | Unicode version |
Description: A utility lemma to transfer a bound-variable hypothesis builder into a definition. (Contributed by Mario Carneiro, 11-Aug-2016.) |
Ref | Expression |
---|---|
nfceqi.1 | |
nfcxfr.2 |
Ref | Expression |
---|---|
nfcxfr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcxfr.2 | . 2 | |
2 | nfceqi.1 | . . 3 | |
3 | 2 | nfceqi 2485 | . 2 |
4 | 1, 3 | mpbir 200 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wceq 1642 wnfc 2476 |
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-11 1746 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-an 360 df-ex 1542 df-nf 1545 df-cleq 2346 df-clel 2349 df-nfc 2478 |
This theorem is referenced by: nfrab1 2791 nfrab 2792 nfnin 3228 nfcompl 3229 nfin 3230 nfun 3231 nfdif 3232 nfsymdif 3233 nfpw 3733 nfpr 3773 nfsn 3784 nfuni 3897 nfint 3936 nfiun 3995 nfiin 3996 nfiu1 3997 nfii1 3998 nfopk 4068 nfiota1 4341 nfop 4604 nfopab 4627 nfopab1 4628 nfopab2 4629 nfxp 4810 nfco 4882 nfcnv 4891 nfres 4936 nfima 4953 nfrn 4963 nfdm 4964 nffv 5334 nfoprab1 5546 nfoprab2 5547 nfoprab3 5548 nfoprab 5549 ov3 5599 nfmpt 5671 nfmpt1 5672 nfmpt21 5673 nfmpt22 5674 nfmpt2 5675 fvmptss 5705 ov2gf 5711 fvmptf 5722 |
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