Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1533
Ⅎwnfc 2877
∏cprod 15855 |
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 |
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-clab 2704 df-cleq 2718 df-clel 2804 df-nfc 2879 df-ral 3056 df-rex 3065 df-rab 3427 df-v 3470 df-sbc 3773 df-csb 3889 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-mpt 5225 df-xp 5675 df-cnv 5677 df-co 5678 df-dm 5679 df-rn 5680 df-res 5681 df-ima 5682 df-pred 6294 df-iota 6489 df-fv 6545 df-ov 7408 df-oprab 7409 df-mpo 7410 df-frecs 8267 df-wrecs 8298 df-recs 8372 df-rdg 8411 df-seq 13973 df-prod 15856 |
This theorem is referenced by: prodfc
15895 fprodcllemf
15908 prodsn
15912 prodsnf
15914 fprodm1s
15920 fprodp1s
15921 prodsns
15922 fprod2dlem
15930 fprodcom2
15934 fproddivf
15937 fprodsplitf
15938 |