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Theorem wl-dral1d 31876
 Description: A version of dral1 2161 with a context. Note: At first glance one might be tempted to generalize this (or a similar) theorem by weakening the first two hypotheses adding a , or antecedent. wl-equsal1i 31888 and nfdi 2001 show that this is in fact pointless. (Contributed by Wolf Lammen, 28-Jul-2019.)
Hypotheses
Ref Expression
wl-dral1d.1
wl-dral1d.2
wl-dral1d.3
Assertion
Ref Expression
wl-dral1d

Proof of Theorem wl-dral1d
StepHypRef Expression
1 wl-dral1d.3 . . . . . . . 8
21com12 32 . . . . . . 7
32pm5.74d 251 . . . . . 6
43sps 1945 . . . . 5
54dral1 2161 . . . 4
6 wl-dral1d.1 . . . . 5
7619.21 1989 . . . 4
8 wl-dral1d.2 . . . . 5
9819.21 1989 . . . 4
105, 7, 93bitr3g 291 . . 3
1110pm5.74rd 252 . 2
1211com12 32 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 188  wal 1444  wnf 1669 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1671  ax-4 1684  ax-5 1760  ax-6 1807  ax-7 1853  ax-10 1917  ax-12 1935  ax-13 2093 This theorem depends on definitions:  df-bi 189  df-an 373  df-ex 1666  df-nf 1670 This theorem is referenced by:  wl-cbvalnaed  31877
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