Theorem nfof 5717

Description: Hypothesis builder for function operation. (Contributed by Mario Carneiro, 20-Jul-2014.)

Hypothesis

Ref	Expression
nfof.1	⊢ Ⅎ𝑥𝑅

Assertion

Ref	Expression
nfof	⊢ Ⅎ𝑥 ∘𝑓 𝑅

Distinct variable group:   𝑥,𝑅

Proof of Theorem nfof

Step	Hyp	Ref	Expression
1		nfcv 2178	1 ⊢ Ⅎ𝑥 ∘𝑓 𝑅

Syntax hints:  Ⅎwnfc 2165   ∘_𝑓 cof 5710

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-gen 1338  ax-17 1419

This theorem depends on definitions:  df-bi 110  df-nf 1350  df-nfc 2167

This theorem is referenced by: (None)