Metamath Proof Explorer


Theorem leidi

Description: 'Less than or equal to' is reflexive. (Contributed by NM, 18-Aug-1999)

Ref Expression
Hypothesis lt2.1 ⊢ A ∈ ℝ
Assertion leidi ⊢ A ≤ A

Proof

Step Hyp Ref Expression
1 lt2.1 ⊢ A ∈ ℝ
2 leid ⊢ A ∈ ℝ → A ≤ A
3 1 2 ax-mp ⊢ A ≤ A