dalemuea - Mathbox for Norm Megill

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Theorem dalemuea 33267

Description: Lemma for dath 33372. Frequently-used utility lemma. (Contributed by NM, 13-Aug-2012.)

**Hypothesis**
Ref	Expression
dalema.ph	$/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$

**Assertion**
Ref	Expression
dalemuea

**Proof of Theorem dalemuea**
Step	Hyp	Ref	Expression
1		dalema.ph	. 2 $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$
2		simp133 1167	. 2 $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$
3	1, 2	sylbi 200	1

Colors of variables: wff setvar class

Syntax hints:

wn 3

wi 4

wb 189 $/\$ wa 376 $/\$ w3a 1007

wcel 1904 class class class wbr 4395

cfv 5589 (class class class)co 6308

cbs 15199

chlt 32987

This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8

This theorem depends on definitions: df-bi 190 df-an 378 df-3an 1009

This theorem is referenced by: dalemueb 33280 dalemtjueb 33283 dalemsly 33291 dalemswapyz 33292 dalemrot 33293 dalemrotyz 33294 dalemdea 33298 dalem5 33303 dalem-cly 33307 dalem11 33310 dalem12 33311 dalem17 33316 dalem56 33364