Hilbert Space Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  HSE Home  >  Th. List  >  chm1i Structured version   Unicode version

Theorem chm1i 22960
 Description: Meet with lattice one in . (Contributed by NM, 24-Oct-1999.) (New usage is discouraged.)
Hypothesis
Ref Expression
ch0le.1
Assertion
Ref Expression
chm1i

Proof of Theorem chm1i
StepHypRef Expression
1 ch0le.1 . . 3
21chssii 22736 . 2
3 df-ss 3336 . 2
42, 3mpbi 201 1
 Colors of variables: wff set class Syntax hints:   wceq 1653   wcel 1726   cin 3321   wss 3322  chil 22424  cch 22434 This theorem is referenced by:  stcltrlem1  23781 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-7 1750  ax-11 1762  ax-12 1951  ax-ext 2419  ax-sep 4332  ax-hilex 22504 This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-3an 939  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-clab 2425  df-cleq 2431  df-clel 2434  df-nfc 2563  df-rex 2713  df-rab 2716  df-v 2960  df-dif 3325  df-un 3327  df-in 3329  df-ss 3336  df-nul 3631  df-if 3742  df-pw 3803  df-sn 3822  df-pr 3823  df-op 3825  df-uni 4018  df-br 4215  df-opab 4269  df-xp 4886  df-cnv 4888  df-dm 4890  df-rn 4891  df-res 4892  df-ima 4893  df-iota 5420  df-fv 5464  df-ov 6086  df-sh 22711  df-ch 22726
 Copyright terms: Public domain W3C validator