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7lt8
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6lt8
Metamath Proof Explorer
Ascii
Structured
Theorem
7lt8
Description:
7 is less than 8.
(Contributed by
Mario Carneiro
, 15-Sep-2013)
Ref
Expression
Assertion
7lt8
⊢
7 < 8
Proof
Step
Hyp
Ref
Expression
1
7re
⊢
7 ∈ ℝ
2
1
ltp1i
⊢
7 < ( 7 + 1 )
3
df-8
⊢
8 = ( 7 + 1 )
4
2
3
breqtrri
⊢
7 < 8