Mathbox for Alexander van der Vekens |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > Mathboxes > gbpart6 | Structured version Visualization version GIF version |
Description: The Goldbach partition of 6. (Contributed by AV, 20-Jul-2020.) |
Ref | Expression |
---|---|
gbpart6 | ⊢ 6 = (3 + 3) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3p3e6 11783 | . 2 ⊢ (3 + 3) = 6 | |
2 | 1 | eqcomi 2830 | 1 ⊢ 6 = (3 + 3) |
Colors of variables: wff setvar class |
Syntax hints: = wceq 1533 (class class class)co 7150 + caddc 10534 3c3 11687 6c6 11690 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1792 ax-4 1806 ax-5 1907 ax-6 1966 ax-7 2011 ax-8 2112 ax-9 2120 ax-10 2141 ax-11 2156 ax-12 2172 ax-ext 2793 ax-1cn 10589 ax-addcl 10591 ax-addass 10596 |
This theorem depends on definitions: df-bi 209 df-an 399 df-or 844 df-3an 1085 df-tru 1536 df-ex 1777 df-nf 1781 df-sb 2066 df-clab 2800 df-cleq 2814 df-clel 2893 df-nfc 2963 df-rex 3144 df-rab 3147 df-v 3497 df-dif 3939 df-un 3941 df-in 3943 df-ss 3952 df-nul 4292 df-if 4468 df-sn 4562 df-pr 4564 df-op 4568 df-uni 4833 df-br 5060 df-iota 6309 df-fv 6358 df-ov 7153 df-2 11694 df-3 11695 df-4 11696 df-5 11697 df-6 11698 |
This theorem is referenced by: 6gbe 43929 |
Copyright terms: Public domain | W3C validator |