Metamath Proof Explorer


Theorem equcomd

Description: Deduction form of equcom , symmetry of equality. For the versions for classes, see eqcom and eqcomd . (Contributed by BJ, 6-Oct-2019)

Ref Expression
Hypothesis equcomd.1
|- ( ph -> x = y )
Assertion equcomd
|- ( ph -> y = x )

Proof

Step Hyp Ref Expression
1 equcomd.1
 |-  ( ph -> x = y )
2 equcom
 |-  ( x = y <-> y = x )
3 1 2 sylib
 |-  ( ph -> y = x )