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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, , , , ,  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation4, 5,  ⊢  
  : , : , :
3instantiation6, 7, , , , ,  ⊢  
  : , :
4axiom  ⊢  
 proveit.logic.equality.substitution
5instantiation8, 31, 16,  ⊢  
  : , :
6theorem  ⊢  
 proveit.logic.equality.equals_reversal
7instantiation9, 10, 21, 11, 12, 13*, , , , ,  ⊢  
  : , : , : , :
8theorem  ⊢  
 proveit.numbers.multiplication.commutation
9theorem  ⊢  
 proveit.numbers.division.prod_of_fracs
10instantiation34, 14, 15  ⊢  
  : , : , :
11instantiation18, 16, 17,  ⊢  
  :
12instantiation18, 31, 19,  ⊢  
  :
13instantiation20, 21, ,  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
15instantiation34, 22, 23  ⊢  
  : , : , :
16assumption  ⊢  
17assumption  ⊢  
18theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
19assumption  ⊢  
20theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
21instantiation24, 25, 32, ,  ⊢  
  : , :
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
23instantiation34, 26, 27  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
25instantiation28, 29, 30, 31, 32, 33, ,  ⊢  
  : , :
26theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
27instantiation34, 35, 36  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.addition.add_complex_closure
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
30instantiation37  ⊢  
  : , : , :
31assumption  ⊢  
32assumption  ⊢  
33assumption  ⊢  
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
37theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
*equality replacement requirements