Theorem lmdrcl

Description: Reverse closure for a limit of a diagram. (Contributed by Zhi Wang, 20-Nov-2025)

	Ref	Expression
Assertion	lmdrcl	Could not format assertion : No typesetting found for |- ( X e. ( ( C Limit D ) ` F ) -> F e. ( D Func C ) ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		lmdfval	Could not format ( C Limit D ) = ( f e. ( D Func C ) |-> ( ( oppFunc ` ( C DiagFunc D ) ) ( ( oppCat ` C ) UP ( oppCat ` ( D FuncCat C ) ) ) f ) ) : No typesetting found for |- ( C Limit D ) = ( f e. ( D Func C ) |-> ( ( oppFunc ` ( C DiagFunc D ) ) ( ( oppCat ` C ) UP ( oppCat ` ( D FuncCat C ) ) ) f ) ) with typecode |-
2	1	mptrcl	Could not format ( X e. ( ( C Limit D ) ` F ) -> F e. ( D Func C ) ) : No typesetting found for |- ( X e. ( ( C Limit D ) ` F ) -> F e. ( D Func C ) ) with typecode |-