Metamath Proof Explorer


Theorem rmx0

Description: Value of X sequence at 0. Part 1 of equation 2.11 of JonesMatijasevic p. 695. (Contributed by Stefan O'Rear, 22-Sep-2014)

Ref Expression
Assertion rmx0 ( 𝐴 ∈ ( ℤ ‘ 2 ) → ( 𝐴 Xrm 0 ) = 1 )

Proof

Step Hyp Ref Expression
1 rmxy0 ( 𝐴 ∈ ( ℤ ‘ 2 ) → ( ( 𝐴 Xrm 0 ) = 1 ∧ ( 𝐴 Yrm 0 ) = 0 ) )
2 1 simpld ( 𝐴 ∈ ( ℤ ‘ 2 ) → ( 𝐴 Xrm 0 ) = 1 )