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Mirrors > Home > MPE Home > Th. List > mpteq12dva | Structured version Visualization version Unicode version |
Description: An equality inference for the maps to notation. (Contributed by Mario Carneiro, 26-Jan-2017.) |
Ref | Expression |
---|---|
mpteq12dv.1 | |
mpteq12dva.2 |
Ref | Expression |
---|---|
mpteq12dva |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpteq12dv.1 | . . 3 | |
2 | 1 | alrimiv 1855 | . 2 |
3 | mpteq12dva.2 | . . 3 | |
4 | 3 | ralrimiva 2966 | . 2 |
5 | mpteq12f 4731 | . 2 | |
6 | 2, 4, 5 | syl2anc 693 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 384 wal 1481 wceq 1483 wcel 1990 wral 2912 cmpt 4729 |
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-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-ral 2917 df-opab 4713 df-mpt 4730 |
This theorem is referenced by: mpteq12dv 4733 reps 13517 repswccat 13532 cidpropd 16370 monpropd 16397 fucpropd 16637 curfpropd 16873 hofpropd 16907 yonffthlem 16922 ofco2 20257 pmatcollpw3fi1lem1 20591 rrxnm 23179 ushgredgedg 26121 ushgredgedgloop 26123 sgnsv 29727 ofcfval 30160 ccatmulgnn0dir 30619 signstf0 30645 curunc 33391 cncfiooicc 40107 dvcosax 40141 fourierdlem74 40397 fourierdlem75 40398 fourierdlem93 40416 smfsupxr 41022 smflimsuplem8 41033 pfxmpt 41387 |
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