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Mirrors > Home > MPE Home > Th. List > nfdm | Structured version Visualization version Unicode version |
Description: Bound-variable hypothesis builder for domain. (Contributed by NM, 30-Jan-2004.) (Revised by Mario Carneiro, 15-Oct-2016.) |
Ref | Expression |
---|---|
nfrn.1 |
Ref | Expression |
---|---|
nfdm |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-dm 5124 | . 2 | |
2 | nfcv 2764 | . . . . 5 | |
3 | nfrn.1 | . . . . 5 | |
4 | nfcv 2764 | . . . . 5 | |
5 | 2, 3, 4 | nfbr 4699 | . . . 4 |
6 | 5 | nfex 2154 | . . 3 |
7 | 6 | nfab 2769 | . 2 |
8 | 1, 7 | nfcxfr 2762 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wex 1704 cab 2608 wnfc 2751 class class class wbr 4653 cdm 5114 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-3an 1039 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-rab 2921 df-v 3202 df-dif 3577 df-un 3579 df-in 3581 df-ss 3588 df-nul 3916 df-if 4087 df-sn 4178 df-pr 4180 df-op 4184 df-br 4654 df-dm 5124 |
This theorem is referenced by: nfrn 5368 dmiin 5369 nffn 5987 funimass4f 29437 bnj1398 31102 bnj1491 31125 nosupbnd2 31862 fnlimcnv 39899 fnlimfvre 39906 fnlimabslt 39911 lmbr3 39979 itgsinexplem1 40169 fourierdlem16 40340 fourierdlem21 40345 fourierdlem22 40346 fourierdlem68 40391 fourierdlem80 40403 fourierdlem103 40426 fourierdlem104 40427 issmff 40943 issmfdf 40946 smfpimltmpt 40955 smfpimltxrmpt 40967 smfpreimagtf 40976 smflim 40985 smfpimgtxr 40988 smfpimgtmpt 40989 smfpimgtxrmpt 40992 smflim2 41012 smfpimcc 41014 smfsup 41020 smfsupmpt 41021 smfsupxr 41022 smfinflem 41023 smfinf 41024 smfinfmpt 41025 smflimsup 41034 smfliminf 41037 nfdfat 41210 |
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