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Mirrors > Home > MPE Home > Th. List > Mathboxes > isgbow | Structured version Visualization version Unicode version |
Description: The predicate "is a weak odd Goldbach number". A weak odd Goldbach number is an odd integer having a Goldbach partition, i.e. which can be written as a sum of three primes. (Contributed by AV, 20-Jul-2020.) |
Ref | Expression |
---|---|
isgbow | GoldbachOddW Odd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqeq1 2626 | . . . 4 | |
2 | 1 | rexbidv 3052 | . . 3 |
3 | 2 | 2rexbidv 3057 | . 2 |
4 | df-gbow 41637 | . 2 GoldbachOddW Odd | |
5 | 3, 4 | elrab2 3366 | 1 GoldbachOddW Odd |
Colors of variables: wff setvar class |
Syntax hints: wb 196 wa 384 wceq 1483 wcel 1990 wrex 2913 (class class class)co 6650 caddc 9939 cprime 15385 Odd codd 41538 GoldbachOddW cgbow 41634 |
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-nfc 2753 df-rex 2918 df-rab 2921 df-v 3202 df-gbow 41637 |
This theorem is referenced by: gbowodd 41643 gbogbow 41644 gbowpos 41647 gbowgt5 41650 gbowge7 41651 7gbow 41660 sbgoldbwt 41665 sbgoldbm 41672 nnsum4primesodd 41684 |
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