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Show the Proof

In [1]:
import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof
Out[1]:
 step typerequirementsstatement
0instantiation1, 2, 3  ⊢  
  : , : , :
1reference24  ⊢  
2theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_nonpos_int
3instantiation4, 5, 6  ⊢  
  :
4theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_is_int_neg
5instantiation24, 7, 15  ⊢  
  : , : , :
6instantiation8, 9, 10  ⊢  
  : , : , :
7instantiation11, 13, 14  ⊢  
  : , :
8theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_eq_less
9instantiation12, 13, 14, 15  ⊢  
  : , : , :
10instantiation16, 17  ⊢  
  :
11theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
12theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_upper_bound
13instantiation18, 19  ⊢  
  :
14instantiation24, 20, 21  ⊢  
  : , : , :
15assumption  ⊢  
16theorem  ⊢  
 proveit.numbers.number_sets.integers.negative_if_in_neg_int
17instantiation22, 23  ⊢  
  :
18theorem  ⊢  
 proveit.numbers.negation.int_closure
19instantiation24, 25, 26  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.integers.nonpos_int_within_int
21instantiation27, 28  ⊢  
  :
22theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
23theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
24theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
27theorem  ⊢  
 proveit.numbers.negation.int_nonpos_closure
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3