Definition df-gam 25757

Description: Define the Gamma function. See df-lgam 25756 for more information about the reason for this definition in terms of the log-gamma function. (Contributed by Mario Carneiro, 12-Jul-2014.)

Assertion

Ref	Expression
df-gam	⊢ Γ = (exp ∘ log Γ)

Detailed syntax breakdown of Definition df-gam

Step	Hyp	Ref	Expression
1		cgam 25754	. 2 class Γ
2		ce 15507	. . 3 class exp
3		clgam 25753	. . 3 class log Γ
4	2, 3	ccom 5529	. 2 class (exp ∘ log Γ)
5	1, 4	wceq 1542	1 wff Γ = (exp ∘ log Γ)

This definition is referenced by:  gamf  25780  eflgam  25782