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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