Theorem f1orel 2803

Description: A one-to-one onto mapping is a relation.

Assertion

Ref	Expression
f1orel	⊢ (F:A–1-1-onto→B → Rel F)

Proof of Theorem f1orel

Step	Hyp	Ref	Expression
1		f1ofun 2802	. 2 ⊢ (F:A–1-1-onto→B → Fun F)
2		funrel 2681	. 2 ⊢ (Fun F → Rel F)
3	1, 2	syl 12	1 ⊢ (F:A–1-1-onto→B → Rel F)

Syntax hints:   → wi 2  Rel wrel 2415  Fun wfun 2416  –1-1-onto→wf1o 2421

This theorem is referenced by:  f1ococnv1 2818  ssenen 3399  infxpidmlem11 4943

This theorem was proved from axioms:  ax-1 3  ax-2 4  ax-3 5  ax-mp 6

This theorem depends on definitions:  df-bi 128  df-an 198  df-fun 2432  df-fn 2433  df-f 2434  df-f1 2435  df-f1o 2437

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