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REAL AND COMPLEX NUMBERS
Elementary integer functions
Integer powers
sq1
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neg1sqe1
Metamath Proof Explorer
Ascii
Structured
Theorem
sq1
Description:
The square of 1 is 1.
(Contributed by
NM
, 22-Aug-1999)
Ref
Expression
Assertion
sq1
⊢
( 1 ↑ 2 ) = 1
Proof
Step
Hyp
Ref
Expression
1
2z
⊢
2 ∈ ℤ
2
1exp
⊢
( 2 ∈ ℤ → ( 1 ↑ 2 ) = 1 )
3
1
2
ax-mp
⊢
( 1 ↑ 2 ) = 1