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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  ⊢  
  : , : , :
1reference15  ⊢  
2theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
3instantiation15, 4, 5  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
5instantiation15, 6, 7  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
7instantiation15, 8, 9  ⊢  
  : , : , :
8instantiation10, 11, 12  ⊢  
  : , :
9assumption  ⊢  
10theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
11instantiation15, 13, 14  ⊢  
  : , : , :
12instantiation15, 16, 17  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
14theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
15theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
16theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
17instantiation18, 27, 19, 20  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
19instantiation21, 27, 22  ⊢  
  :
20theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
21theorem  ⊢  
 proveit.numbers.numerals.decimals.n_in_digits
22instantiation23, 24, 25  ⊢  
  : , :
23theorem  ⊢  
 proveit.logic.booleans.conjunction.and_if_both
24instantiation26, 27  ⊢  
  :
25instantiation28, 29  ⊢  
  :
26theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_lower_bound
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
28theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
29theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat9