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Mirrors > Home > MPE Home > Th. List > mpt2v | Structured version Visualization version Unicode version |
Description: Operation with universal domain in maps-to notation. (Contributed by NM, 16-Aug-2013.) |
Ref | Expression |
---|---|
mpt2v |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-mpt2 6655 | . 2 | |
2 | vex 3203 | . . . . 5 | |
3 | vex 3203 | . . . . 5 | |
4 | 2, 3 | pm3.2i 471 | . . . 4 |
5 | 4 | biantrur 527 | . . 3 |
6 | 5 | oprabbii 6710 | . 2 |
7 | 1, 6 | eqtr4i 2647 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wa 384 wceq 1483 wcel 1990 cvv 3200 coprab 6651 cmpt2 6652 |
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-v 3202 df-oprab 6654 df-mpt2 6655 |
This theorem is referenced by: 1st2val 7194 2nd2val 7195 |
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