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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, 15, 5, 6, 7*, , , , ,  ⊢  
  : , : , : , :
3theorem  ⊢  
 proveit.numbers.division.prod_of_fracs
4instantiation28, 8, 9  ⊢  
  : , : , :
5instantiation12, 10, 11,  ⊢  
  :
6instantiation12, 25, 13,  ⊢  
  :
7instantiation14, 15, ,  ⊢  
  :
8theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
9instantiation28, 16, 17  ⊢  
  : , : , :
10assumption  ⊢  
11assumption  ⊢  
12theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
13assumption  ⊢  
14theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
15instantiation18, 19, 26, ,  ⊢  
  : , :
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
17instantiation28, 20, 21  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
19instantiation22, 23, 24, 25, 26, 27, ,  ⊢  
  : , :
20theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
21instantiation28, 29, 30  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.addition.add_complex_closure
23theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
24instantiation31  ⊢  
  : , : , :
25assumption  ⊢  
26assumption  ⊢  
27assumption  ⊢  
28theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
31theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
*equality replacement requirements