Database
REAL AND COMPLEX NUMBERS
Real and complex numbers - basic operations
Ordering on reals (cont.)
leidi
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gt0ne0i
Metamath Proof Explorer
Ascii
Structured
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