Metamath Proof Explorer


Theorem decaddm10

Description: The sum of two multiples of 10 is a multiple of 10. (Contributed by AV, 30-Jul-2021)

Ref Expression
Hypotheses decaddm10.a A 0
decaddm10.b B 0
Assertion decaddm10 Could not format assertion : No typesetting found for |- ( ; A 0 + ; B 0 ) = ; ( A + B ) 0 with typecode |-

Proof

Step Hyp Ref Expression
1 decaddm10.a A 0
2 decaddm10.b B 0
3 0nn0 0 0
4 eqid Could not format ; A 0 = ; A 0 : No typesetting found for |- ; A 0 = ; A 0 with typecode |-
5 eqid Could not format ; B 0 = ; B 0 : No typesetting found for |- ; B 0 = ; B 0 with typecode |-
6 eqid A + B = A + B
7 00id 0 + 0 = 0
8 1 3 2 3 4 5 6 7 decadd Could not format ( ; A 0 + ; B 0 ) = ; ( A + B ) 0 : No typesetting found for |- ( ; A 0 + ; B 0 ) = ; ( A + B ) 0 with typecode |-