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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*  ⊢  
  : , :
1theorem  ⊢  
 proveit.trigonometry.complex_unit_circle_chord_length
2reference22  ⊢  
3theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
4instantiation8, 6, 7  ⊢  
  : , : , :
5instantiation8, 9, 10  ⊢  
  : , : , :
6instantiation14, 11  ⊢  
  : , : , :
7instantiation12, 13  ⊢  
  :
8axiom  ⊢  
 proveit.logic.equality.equals_transitivity
9instantiation14, 15  ⊢  
  : , : , :
10instantiation16, 17  ⊢  
  :
11instantiation18, 19  ⊢  
  :
12theorem  ⊢  
 proveit.numbers.exponentiation.exp_zero_eq_one
13instantiation23, 21, 20  ⊢  
  : , : , :
14axiom  ⊢  
 proveit.logic.equality.substitution
15theorem  ⊢  
 proveit.numbers.negation.negated_zero
16theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
17instantiation23, 21, 22  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.multiplication.mult_zero_right
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
20instantiation23, 24, 25  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
22assumption  ⊢  
23theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.e_is_real_pos
*equality replacement requirements