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Metamath Proof Explorer

Theorem brstruct

Description: The structure relation is a relation. (Contributed by Mario Carneiro, 29-Aug-2015)

		Ref	Expression
	Assertion	brstruct	$⊢ Rel Struct$

Step	Hyp	Ref	Expression
1		df-struct	$⊢ Struct = \{⟨f, x⟩ \| (x \in (\leq \cap (ℕ \times ℕ)) \land Fun (f ∖ \{\emptyset\}) \land dom f \subseteq \dots (x))\}$
2	1	relopabiv	$⊢ Rel Struct$