Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 395
∈ wcel 2099 ∀wral 3058 ∃wrex 3067
∩ cin 3946 ⊆
wss 3947 𝒫 cpw 4603
‘cfv 6548 Topctop 22808
Clsdccld 22933 clsccl 22935
Nrmcnrm 23227 |
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-ext 2699 |
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-sb 2061 df-clab 2706 df-cleq 2720 df-clel 2806 df-ral 3059 df-rex 3068 df-rab 3430 df-v 3473 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-nul 4324 df-if 4530 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4909 df-br 5149 df-iota 6500 df-fv 6556 df-nrm 23234 |
This theorem is referenced by: pnrmtop
23258 nrmsep
23274 isnrm2
23275 isnrm3
23276 nrmr0reg
23666 kqnrm
23669 nrmhmph
23711 |