Metamath Proof Explorer


Theorem sq10

Description: The square of 10 is 100. (Contributed by AV, 14-Jun-2021) (Revised by AV, 1-Aug-2021)

Ref Expression
Assertion sq10
|- ( ; 1 0 ^ 2 ) = ; ; 1 0 0

Proof

Step Hyp Ref Expression
1 10nn0
 |-  ; 1 0 e. NN0
2 1 nn0cni
 |-  ; 1 0 e. CC
3 2 sqvali
 |-  ( ; 1 0 ^ 2 ) = ( ; 1 0 x. ; 1 0 )
4 1 dec0u
 |-  ( ; 1 0 x. ; 1 0 ) = ; ; 1 0 0
5 3 4 eqtri
 |-  ( ; 1 0 ^ 2 ) = ; ; 1 0 0