logo

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, 7, 8, 9, 10*,  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.association
2reference33  ⊢  
3reference21  ⊢  
4instantiation28  ⊢  
  : , :
5instantiation28  ⊢  
  : , :
6reference22  ⊢  
7instantiation40, 29, 11  ⊢  
  : , : , :
8instantiation12, 13, 14  ⊢  
  : , :
9reference32  ⊢  
10instantiation15, 16, 17*  ⊢  
  : , :
11instantiation40, 35, 18  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
13instantiation40, 29, 19  ⊢  
  : , : , :
14assumption  ⊢  
15theorem  ⊢  
 proveit.logic.equality.equals_reversal
16instantiation20, 21, 33, 42, 22, 23, 24, 32, 25*  ⊢  
  : , : , : , : , : , :
17theorem  ⊢  
 proveit.numbers.numerals.decimals.add_1_1
18instantiation40, 38, 26  ⊢  
  : , : , :
19instantiation40, 35, 27  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.multiplication.distribute_through_sum
21axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
22theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23instantiation28  ⊢  
  : , :
24instantiation40, 29, 30  ⊢  
  : , : , :
25instantiation31, 32  ⊢  
  :
26instantiation40, 41, 33  ⊢  
  : , : , :
27instantiation40, 38, 34  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
29theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
30instantiation40, 35, 36  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
32assumption  ⊢  
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
34instantiation40, 41, 37  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
36instantiation40, 38, 39  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat6
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.nat1
*equality replacement requirements