Metamath Proof Explorer


Definition df-mgmOLD

Description: Obsolete version of df-mgm as of 3-Feb-2020. A magma is a binary internal operation. (Contributed by FL, 2-Nov-2009) (New usage is discouraged.)

Ref Expression
Assertion df-mgmOLD
|- Magma = { g | E. t g : ( t X. t ) --> t }

Detailed syntax breakdown

Step Hyp Ref Expression
0 cmagm
 |-  Magma
1 vg
 |-  g
2 vt
 |-  t
3 1 cv
 |-  g
4 2 cv
 |-  t
5 4 4 cxp
 |-  ( t X. t )
6 5 4 3 wf
 |-  g : ( t X. t ) --> t
7 6 2 wex
 |-  E. t g : ( t X. t ) --> t
8 7 1 cab
 |-  { g | E. t g : ( t X. t ) --> t }
9 0 8 wceq
 |-  Magma = { g | E. t g : ( t X. t ) --> t }