Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 395
= wceq 1533 ∈
wcel 2098 ∀wral 3055
{crab 3426 ‘cfv 6536
(class class class)co 7404 ↑m
cmap 8819 Basecbs 17151
+gcplusg 17204 0gc0g 17392 Mndcmnd 18665
MndHom cmhm 18709 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-10 2129 ax-11 2146 ax-12 2163 ax-ext 2697 ax-sep 5292 ax-nul 5299 ax-pr 5420 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2528 df-eu 2557 df-clab 2704 df-cleq 2718 df-clel 2804 df-nfc 2879 df-ral 3056 df-rex 3065 df-rab 3427 df-v 3470 df-dif 3946 df-un 3948 df-in 3950 df-ss 3960 df-nul 4318 df-if 4524 df-sn 4624 df-pr 4626 df-op 4630 df-uni 4903 df-br 5142 df-opab 5204 df-xp 5675 df-dm 5679 df-iota 6488 df-fv 6544 df-ov 7407 df-oprab 7408 df-mpo 7409 df-mhm 18711 |
This theorem is referenced by: mhmf1o
18724 resmhm2
18744 resmhm2b
18745 mhmco
18746 mhmeql
18749 pwsco2mhm
18756 gsumwmhm
18768 mhmmulg
19040 mhmvlin
22250 mhmimasplusg
32700 mhmhmeotmd
33437 mhmcompl
41658 |