Metamath Proof Explorer


Theorem equncomi

Description: Inference form of equncom . equncomi was automatically derived from equncomiVD using the tools program translate__without__overwriting.cmd and minimizing. (Contributed by Alan Sare, 18-Feb-2012)

Ref Expression
Hypothesis equncomi.1
|- A = ( B u. C )
Assertion equncomi
|- A = ( C u. B )

Proof

Step Hyp Ref Expression
1 equncomi.1
 |-  A = ( B u. C )
2 equncom
 |-  ( A = ( B u. C ) <-> A = ( C u. B ) )
3 1 2 mpbi
 |-  A = ( C u. B )