Theorem ttcpwss

Description: The transitive closure of a power class is contained in the power class of the transitive closure. (Contributed by Matthew House, 6-Apr-2026)

	Ref	Expression
Assertion	ttcpwss	Could not format assertion : No typesetting found for |- TC+ ~P A C_ ~P TC+ A with typecode |-

Proof

Step	Hyp	Ref	Expression
1		ttcid	Could not format A C_ TC+ A : No typesetting found for |- A C_ TC+ A with typecode |-
2	1	sspwi	Could not format ~P A C_ ~P TC+ A : No typesetting found for |- ~P A C_ ~P TC+ A with typecode |-
3		ttctr	Could not format Tr TC+ A : No typesetting found for |- Tr TC+ A with typecode |-
4		pwtr	Could not format ( Tr TC+ A <-> Tr ~P TC+ A ) : No typesetting found for |- ( Tr TC+ A <-> Tr ~P TC+ A ) with typecode |-
5	3 4	mpbi	Could not format Tr ~P TC+ A : No typesetting found for |- Tr ~P TC+ A with typecode |-
6		ttcmin	Could not format ( ( ~P A C_ ~P TC+ A /\ Tr ~P TC+ A ) -> TC+ ~P A C_ ~P TC+ A ) : No typesetting found for |- ( ( ~P A C_ ~P TC+ A /\ Tr ~P TC+ A ) -> TC+ ~P A C_ ~P TC+ A ) with typecode |-
7	2 5 6	mp2an	Could not format TC+ ~P A C_ ~P TC+ A : No typesetting found for |- TC+ ~P A C_ ~P TC+ A with typecode |-