Metamath Proof Explorer


Theorem dpval3rp

Description: Value of the decimal point construct. (Contributed by Thierry Arnoux, 16-Dec-2021)

Ref Expression
Hypotheses dpval3rp.a ⊢ A ∈ ℕ 0
dpval3rp.b ⊢ B ∈ ℝ +
Assertion dpval3rp Could not format assertion : No typesetting found for |- ( A . B ) = _ A B with typecode |-

Proof

Step Hyp Ref Expression
1 dpval3rp.a ⊢ A ∈ ℕ 0
2 dpval3rp.b ⊢ B ∈ ℝ +
3 rpre ⊢ B ∈ ℝ + → B ∈ ℝ
4 2 3 ax-mp ⊢ B ∈ ℝ
5 1 4 dpval3 Could not format ( A . B ) = _ A B : No typesetting found for |- ( A . B ) = _ A B with typecode |-