Theorem nfof 6800

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 2751	1 ⊢ Ⅎ𝑥 ∘𝑓 𝑅

Syntax hints:  Ⅎwnfc 2738   ∘_𝑓 cof 6793

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1713  ax-5 1827

This theorem depends on definitions:  df-bi 196  df-ex 1696  df-nf 1701  df-nfc 2740

This theorem is referenced by: (None)