dalemceb - Mathbox for Norm Megill

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Theorem dalemceb 33247

Description: Lemma for dath 33345. Frequently-used utility lemma. (Contributed by NM, 13-Aug-2012.)

**Hypotheses**
Ref	Expression
dalema.ph	$/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$
dalema.a

**Assertion**
Ref	Expression
dalemceb

**Proof of Theorem dalemceb**
Step	Hyp	Ref	Expression
1		dalema.ph	. 2 $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$
2		simp11r 1126	. 2 $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$ $/\$ $.\/$
3	1, 2	sylbi 200	1

Colors of variables: wff setvar class

Syntax hints:

wn 3

wi 4

wb 189 $/\$ wa 375 $/\$ w3a 991

wceq 1454

wcel 1897 class class class wbr 4415

cfv 5600 (class class class)co 6314

cbs 15169

catm 32873

chlt 32960

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 377 df-3an 993

This theorem is referenced by: dalemcnes 33259 dalempnes 33260 dalemqnet 33261 dalemrot 33266 dalemcea 33269 dalem5 33276 dalem8 33279 dalem-cly 33280 dalem13 33285 dalem17 33289 dalem21 33303 dalem25 33307