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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,  ⊢  
  : , :
1reference20  ⊢  
2instantiation20, 4, 5  ⊢  
  : , :
3instantiation6, 7, 8,  ⊢  
  : , : , :
4instantiation34, 26, 9  ⊢  
  : , : , :
5instantiation34, 26, 10  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
7instantiation20, 11, 17,  ⊢  
  : , :
8instantiation12, 13, 31, 14, 15, 16, 21, 22, 17,  ⊢  
  : , : , : , : , : , :
9instantiation34, 28, 18  ⊢  
  : , : , :
10instantiation34, 32, 19  ⊢  
  : , : , :
11instantiation20, 21, 22  ⊢  
  : , :
12theorem  ⊢  
 proveit.numbers.multiplication.disassociation
13axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
14theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
15theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16instantiation23  ⊢  
  : , :
17instantiation34, 26, 24  ⊢  
  : , : , :
18instantiation34, 35, 25  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
20theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
21theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
22instantiation34, 26, 27  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24instantiation34, 28, 29  ⊢  
  : , : , :
25instantiation34, 30, 31  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
27instantiation34, 32, 33  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
29instantiation34, 35, 36  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
31theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
32theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
33assumption  ⊢  
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
36assumption  ⊢