df-e - Metamath Proof Explorer

	Metamath Proof Explorer		< Previous Next > Nearby theorems
Mirrors > Home > MPE Home > Th. List > df-e		Structured version Visualization version GIF version

Definition df-e 15414

Description: Define Euler's constant e = 2.71828.... (Contributed by NM, 14-Mar-2005.)

**Assertion**
Ref	Expression
df-e	⊢ e = (exp‘1)

**Detailed syntax breakdown of Definition df-e**
Step	Hyp	Ref	Expression
1		ceu 15408	. 2 class e
2		c1 10527	. . 3 class 1
3		ce 15407	. . 3 class exp
4	2, 3	cfv 6324	. 2 class (exp‘1)
5	1, 4	wceq 1538	1 wff e = (exp‘1)

Colors of variables: wff setvar class

This definition is referenced by: esum 15426 ere 15434 ege2le3 15435 efzval 15447 loge 25178 logdivlti 25211 pntpbnd1a 26169 ex-co 28223 subfaclim 32548