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3lt4
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2lt4
Metamath Proof Explorer
Ascii
Structured
Theorem
3lt4
Description:
3 is less than 4.
(Contributed by
Mario Carneiro
, 15-Sep-2013)
Ref
Expression
Assertion
3lt4
⊢
3 < 4
Proof
Step
Hyp
Ref
Expression
1
3re
⊢
3 ∈ ℝ
2
1
ltp1i
⊢
3 < ( 3 + 1 )
3
df-4
⊢
4 = ( 3 + 1 )
4
2
3
breqtrri
⊢
3 < 4