Metamath Proof Explorer


Theorem exp0d

Description: Value of a complex number raised to the zeroth power. (Contributed by Mario Carneiro, 28-May-2016)

Ref Expression
Hypothesis expcld.1 φA
Assertion exp0d φA0=1

Proof

Step Hyp Ref Expression
1 expcld.1 φA
2 exp0 AA0=1
3 1 2 syl φA0=1