Metamath Proof Explorer


Theorem recsfnon

Description: Strong transfinite recursion defines a function on ordinals. (Contributed by Stefan O'Rear, 18-Jan-2015)

Ref Expression
Assertion recsfnon ⊢ recs ⁡ F Fn On

Proof

Step Hyp Ref Expression
1 eqid ⊢ recs ⁡ F = recs ⁡ F
2 1 tfr1 ⊢ recs ⁡ F Fn On