Metamath Proof Explorer


Theorem rpdp2cl2

Description: Closure for a decimal fraction with no decimal expansion in the positive real numbers. (Contributed by Thierry Arnoux, 25-Dec-2021)

Ref Expression
Hypothesis rpdp2cl2.a A
Assertion rpdp2cl2 Could not format assertion : No typesetting found for |- _ A 0 e. RR+ with typecode |-

Proof

Step Hyp Ref Expression
1 rpdp2cl2.a A
2 1 nnnn0i A 0
3 2 dp20u Could not format _ A 0 = A : No typesetting found for |- _ A 0 = A with typecode |-
4 nnrp A A +
5 1 4 ax-mp A +
6 3 5 eqeltri Could not format _ A 0 e. RR+ : No typesetting found for |- _ A 0 e. RR+ with typecode |-