Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 395
∈ wcel 2098 ∀wral 3055 ∃wrex 3064
∩ cin 3942 ⊆
wss 3943 𝒫 cpw 4597
‘cfv 6536 Topctop 22746
Clsdccld 22871 clsccl 22873
Nrmcnrm 23165 |
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-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-sb 2060 df-clab 2704 df-cleq 2718 df-clel 2804 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-iota 6488 df-fv 6544 df-nrm 23172 |
This theorem is referenced by: pnrmtop
23196 nrmsep
23212 isnrm2
23213 isnrm3
23214 nrmr0reg
23604 kqnrm
23607 nrmhmph
23649 |