Theorem mosub 3277

Description: "At most one" remains true after substitution. (Contributed by NM, 9-Mar-1995.)

Hypothesis

Ref	Expression
mosub.1

Assertion

Ref	Expression
mosub

Distinct variable group:   ,,

Proof of Theorem mosub

Step	Hyp	Ref	Expression
1		moeq 3275	. 2
2		mosub.1	. . 3
3	2	ax-gen 1618	. 2
4		moexexv 2364	. 2
5	1, 3, 4	mp2an 672	1

Syntax hints:  /\wa 369  A.wal 1393  =wceq 1395  E.wex 1612  E*wmo 2283

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435

This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-eu 2286  df-mo 2287  df-clab 2443  df-cleq 2449  df-clel 2452  df-v 3111