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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.division.mult_frac_left
2reference14  ⊢  
3reference11,  ⊢  
4instantiation24, 14, 7  ⊢  
  : , :
5instantiation8, 9  ⊢  
  : , :
6instantiation10, 11,  ⊢  
  :
7instantiation17, 21  ⊢  
  :
8theorem  ⊢  
 proveit.numbers.addition.subtraction.nonzero_difference_if_different
9instantiation12, 13  ⊢  
  : , :
10theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
11instantiation24, 14, 15,  ⊢  
  : , :
12theorem  ⊢  
 proveit.logic.equality.not_equals_symmetry
13assumption  ⊢  
14instantiation40, 29, 16  ⊢  
  : , : , :
15instantiation17, 18,  ⊢  
  :
16instantiation40, 34, 19  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.negation.complex_closure
18instantiation20, 21, 22,  ⊢  
  : , :
19instantiation40, 38, 23  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
21assumption  ⊢  
22instantiation24, 25, 26  ⊢  
  : , :
23instantiation40, 41, 27  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
25instantiation40, 29, 28  ⊢  
  : , : , :
26instantiation40, 29, 30  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
28instantiation31, 32, 33  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
30instantiation40, 34, 35  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
32instantiation36, 37  ⊢  
  : , :
33assumption  ⊢  
34theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
35instantiation40, 38, 39  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
37theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_within_real
38theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
39instantiation40, 41, 42  ⊢  
  : , : , :
40theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
42theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements