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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
2instantiation5, 6, 4  ⊢  
  : , :
3instantiation5, 6, 7  ⊢  
  : , :
4instantiation24, 10, 8  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
6instantiation24, 10, 9  ⊢  
  : , : , :
7instantiation24, 10, 11  ⊢  
  : , : , :
8instantiation12, 13, 14  ⊢  
  : , : , :
9instantiation24, 16, 15  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
11instantiation24, 16, 17  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
13instantiation18, 19  ⊢  
  : , :
14assumption  ⊢  
15instantiation24, 21, 20  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
17instantiation24, 21, 22  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
19theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
20instantiation24, 25, 23  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
22instantiation24, 25, 26  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
24theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1