Database
SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for Jeff Madsen
Groups and related structures
df-mgmOLD
Metamath Proof Explorer
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 | ∃ t g : t × t ⟶ t
Detailed syntax breakdown
Step
Hyp
Ref
Expression
0
cmagm
class Magma
1
vg
setvar g
2
vt
setvar t
3
1
cv
setvar g
4
2
cv
setvar t
5
4 4
cxp
class t × t
6
5 4 3
wf
wff g : t × t ⟶ t
7
6 2
wex
wff ∃ t g : t × t ⟶ t
8
7 1
cab
class g | ∃ t g : t × t ⟶ t
9
0 8
wceq
wff Magma = g | ∃ t g : t × t ⟶ t