Theorem mndsssgrp

Description: The class of all monoids is a proper subclass of the class of all semigroups. (Contributed by AV, 29-Jan-2020)

	Ref	Expression
Assertion	mndsssgrp	Could not format assertion : No typesetting found for |- Mnd C. Smgrp with typecode |-

Proof

Step	Hyp	Ref	Expression
1		mndsgrp	Could not format ( x e. Mnd -> x e. Smgrp ) : No typesetting found for |- ( x e. Mnd -> x e. Smgrp ) with typecode |-
2	1	ssriv	Could not format Mnd C_ Smgrp : No typesetting found for |- Mnd C_ Smgrp with typecode |-
3		sgrpnmndex	Could not format E. x e. Smgrp x e/ Mnd : No typesetting found for |- E. x e. Smgrp x e/ Mnd with typecode |-
4		ssexnelpss	Could not format ( ( Mnd C_ Smgrp /\ E. x e. Smgrp x e/ Mnd ) -> Mnd C. Smgrp ) : No typesetting found for |- ( ( Mnd C_ Smgrp /\ E. x e. Smgrp x e/ Mnd ) -> Mnd C. Smgrp ) with typecode |-
5	2 3 4	mp2an	Could not format Mnd C. Smgrp : No typesetting found for |- Mnd C. Smgrp with typecode |-