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Mirrors > Home > MPE Home > Th. List > rexeqi | Structured version Visualization version Unicode version |
Description: Equality inference for restricted existential qualifier. (Contributed by Mario Carneiro, 23-Apr-2015.) |
Ref | Expression |
---|---|
raleq1i.1 |
Ref | Expression |
---|---|
rexeqi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | raleq1i.1 | . 2 | |
2 | rexeq 3139 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wb 196 wceq 1483 wrex 2913 |
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-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-cleq 2615 df-clel 2618 df-nfc 2753 df-rex 2918 |
This theorem is referenced by: rexrab2 3374 rexprg 4235 rextpg 4237 rexxp 5264 oarec 7642 wwlktovfo 13701 dvdsprmpweqnn 15589 4sqlem12 15660 pmatcollpw3fi1 20593 cmpfi 21211 txbas 21370 xkobval 21389 ustn0 22024 imasdsf1olem 22178 xpsdsval 22186 plyun0 23953 coeeu 23981 1cubr 24569 dfnbgr3 26236 wlkvtxedg 26540 wwlksn0 26748 wlknwwlksnsur 26776 wlkwwlksur 26783 eucrctshift 27103 adjbdln 28942 elunirnmbfm 30315 filnetlem4 32376 rexrabdioph 37358 fnwe2lem2 37621 fourierdlem70 40393 fourierdlem80 40403 |
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