Metamath Proof Explorer


Theorem declei

Description: Comparing a digit to a decimal integer. (Contributed by AV, 17-Aug-2021)

Ref Expression
Hypotheses declei.1 A
declei.2 B 0
declei.3 C 0
declei.4 C 9
Assertion declei Could not format assertion : No typesetting found for |- C <_ ; A B with typecode |-

Proof

Step Hyp Ref Expression
1 declei.1 A
2 declei.2 B 0
3 declei.3 C 0
4 declei.4 C 9
5 3 dec0h Could not format C = ; 0 C : No typesetting found for |- C = ; 0 C with typecode |-
6 0nn0 0 0
7 1 nnnn0i A 0
8 1 nngt0i 0 < A
9 6 7 3 2 4 8 decleh Could not format ; 0 C <_ ; A B : No typesetting found for |- ; 0 C <_ ; A B with typecode |-
10 5 9 eqbrtri Could not format C <_ ; A B : No typesetting found for |- C <_ ; A B with typecode |-