Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 395
∧ w3a 1085 = wceq 1534
∈ wcel 2099 ∀wral 3058 ∅c0 4323
𝒫 cpw 4603 ∪ cuni 4908 Disj wdisj 5113 class class class wbr 5148
dom cdm 5678 ran crn 5679
⟶wf 6544 ‘cfv 6548 (class class class)co 7420
ωcom 7870 ≼
cdom 8962 0cc0 11139
+∞cpnf 11276 [,]cicc 13360
Σ*cesum 33646 sigAlgebracsiga 33727 measurescmeas 33814 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1790 ax-4 1804 ax-5 1906
ax-6 1964 ax-7 2004 ax-8 2101
ax-9 2109 ax-10 2130 ax-11 2147 ax-12 2167 ax-ext 2699 ax-sep 5299 ax-nul 5306 ax-pow 5365 ax-pr 5429 ax-un 7740 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 847 df-3an 1087 df-tru 1537 df-fal 1547 df-ex 1775 df-nf 1779 df-sb 2061 df-mo 2530 df-eu 2559 df-clab 2706 df-cleq 2720 df-clel 2806 df-nfc 2881 df-ne 2938 df-ral 3059 df-rex 3068 df-rab 3430 df-v 3473 df-sbc 3777 df-csb 3893 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4909 df-br 5149 df-opab 5211 df-mpt 5232 df-id 5576 df-xp 5684 df-rel 5685 df-cnv 5686 df-co 5687 df-dm 5688 df-rn 5689 df-res 5690 df-ima 5691 df-iota 6500 df-fun 6550 df-fn 6551 df-f 6552 df-fv 6556 df-ov 7423 df-esum 33647 df-meas 33815 |
This theorem is referenced by: measbasedom
33821 aean
33863 sibf0
33954 sibff
33956 sibfinima
33959 sibfof
33960 sitgclg
33962 |