Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1539
∈ wcel 2104 ∀wral 3059 ∃wrex 3068
class class class wbr 5147 ‘cfv 6542
(class class class)co 7411 ℕ0cn0 12476 ↑cexp 14031 ℙcprime 16612 Basecbs 17148
Grpcgrp 18855 odcod 19433
pGrp cpgp 19435 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1795 ax-4 1809 ax-5 1911
ax-6 1969 ax-7 2009 ax-8 2106
ax-9 2114 ax-ext 2701 ax-sep 5298 ax-nul 5305 ax-pr 5426 |
This theorem depends on definitions:
df-bi 206 df-an 395
df-or 844 df-3an 1087 df-tru 1542 df-fal 1552 df-ex 1780 df-sb 2066 df-clab 2708 df-cleq 2722 df-clel 2808 df-ral 3060 df-rex 3069 df-rab 3431 df-v 3474 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-nul 4322 df-if 4528 df-sn 4628 df-pr 4630 df-op 4634 df-uni 4908 df-br 5148 df-opab 5210 df-xp 5681 df-iota 6494 df-fv 6550 df-ov 7414 df-pgp 19439 |
This theorem is referenced by: pgphash
19516 |