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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.logic.equality.equals_reversal
2instantiation3, 4, 5, 15, 6, 7, 8, 9*  ⊢  
  : , : , :
3theorem  ⊢  
 proveit.numbers.exponentiation.products_of_pos_powers
4theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
5instantiation10  ⊢  
  : , : , :
6instantiation25, 12, 11  ⊢  
  : , : , :
7instantiation25, 12, 13  ⊢  
  : , : , :
8assumption  ⊢  
9instantiation14, 15  ⊢  
  :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
11instantiation25, 17, 16  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
13instantiation25, 17, 18  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.exponentiation.complex_x_to_first_power_is_x
15instantiation25, 19, 20  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
17theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
18theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
20instantiation25, 21, 22  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
22instantiation25, 23, 24  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
24instantiation25, 26, 27  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements