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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, 4, 5, 6*,  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.exponentiation.exp_pos_lesseq
2reference28  ⊢  
3instantiation36, 7, 26  ⊢  
  : , : , :
4instantiation8, 9, 10,  ⊢  
  : , :
5instantiation11, 19  ⊢  
  :
6instantiation12, 13, 14, 15  ⊢  
  : , : , : , :
7theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
8theorem  ⊢  
 proveit.logic.booleans.conjunction.and_if_both
9instantiation16, 17  ⊢  
  : , :
10assumption  ⊢  
11theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
12theorem  ⊢  
 proveit.logic.equality.four_chain_transitivity
13instantiation18, 19, 20  ⊢  
  : , :
14instantiation21, 38, 22, 23, 24  ⊢  
  : , : , : , :
15theorem  ⊢  
 proveit.numbers.numerals.decimals.mult_2_2
16theorem  ⊢  
 proveit.numbers.ordering.relax_less
17instantiation25, 26  ⊢  
  :
18theorem  ⊢  
 proveit.numbers.exponentiation.exp_nat_pos_expansion
19theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
20instantiation36, 27, 28  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.core_expr_types.operations.operands_substitution_via_tuple
22instantiation29, 38  ⊢  
  : , :
23instantiation30  ⊢  
  : , :
24instantiation31  ⊢  
  :
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
26assumption  ⊢  
27theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
28instantiation36, 32, 33  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.core_expr_types.tuples.range_from1_len_typical_eq
30theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
31theorem  ⊢  
 proveit.numbers.numerals.decimals.reduce_2_repeats
32theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
33instantiation36, 34, 35  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
35instantiation36, 37, 38  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
38theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements