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 15962

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 15956	. 2 class e
2		c1 11061	. . 3 class 1
3		ce 15955	. . 3 class exp
4	2, 3	cfv 6501	. 2 class (exp‘1)
5	1, 4	wceq 1541	1 wff e = (exp‘1)

Colors of variables: wff setvar class

This definition is referenced by: esum 15974 ere 15982 ege2le3 15983 efzval 15995 loge 25979 logdivlti 26012 pntpbnd1a 26970 ex-co 29445 subfaclim 33869