Metamath Proof Explorer


Theorem decltdi

Description: Comparing a digit to a decimal integer. (Contributed by AV, 8-Sep-2021)

Ref Expression
Hypotheses declti.a ⊢ A ∈ ℕ
declti.b ⊢ B ∈ ℕ 0
declti.c ⊢ C ∈ ℕ 0
decltdi.4 ⊢ C ≤ 9
Assertion decltdi Could not format assertion : No typesetting found for |- C < ; A B with typecode |-

Proof

Step Hyp Ref Expression
1 declti.a ⊢ A ∈ ℕ
2 declti.b ⊢ B ∈ ℕ 0
3 declti.c ⊢ C ∈ ℕ 0
4 decltdi.4 ⊢ C ≤ 9
5 3 4 le9lt10 ⊢ C < 10
6 1 2 3 5 declti Could not format C < ; A B : No typesetting found for |- C < ; A B with typecode |-