Description: A small magma (with two elements) which is not a semigroup. (Contributed by AV, 28-Jan-2020)
Ref | Expression | ||
---|---|---|---|
Hypotheses | mgm2nsgrp.s | |
|
mgm2nsgrp.b | |
||
mgm2nsgrp.o | |
||
Assertion | mgm2nsgrp | Could not format assertion : No typesetting found for |- ( ( # ` S ) = 2 -> ( M e. Mgm /\ M e/ Smgrp ) ) with typecode |- |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mgm2nsgrp.s | |
|
2 | mgm2nsgrp.b | |
|
3 | mgm2nsgrp.o | |
|
4 | 1 | hashprdifel | |
5 | 1 2 3 | mgm2nsgrplem1 | |
6 | 5 | 3adant3 | |
7 | 4 6 | syl | |
8 | 1 2 3 | mgm2nsgrplem4 | Could not format ( ( # ` S ) = 2 -> M e/ Smgrp ) : No typesetting found for |- ( ( # ` S ) = 2 -> M e/ Smgrp ) with typecode |- |
9 | 7 8 | jca | Could not format ( ( # ` S ) = 2 -> ( M e. Mgm /\ M e/ Smgrp ) ) : No typesetting found for |- ( ( # ` S ) = 2 -> ( M e. Mgm /\ M e/ Smgrp ) ) with typecode |- |