Theorem ifov 6382

Description: Move a conditional outside of an operation. (Contributed by AV, 11-Nov-2019.)

Assertion

Ref	Expression
ifov

Proof of Theorem ifov

Step	Hyp	Ref	Expression
1		oveq 6302	. 2
2		oveq 6302	. 2
3	1, 2	ifsb 3954	1

Syntax hints:  =wceq 1395  ifcif 3941  (class class class)co 6296

This theorem is referenced by:  monmatcollpw  19280

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-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607  df-rex 2813  df-if 3942  df-uni 4250  df-br 4453  df-iota 5556  df-fv 5601  df-ov 6299