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
2reference17  ⊢  
3reference18  ⊢  
4reference19  ⊢  
5instantiation23  ⊢  
  : , :
6instantiation23  ⊢  
  : , :
7reference26  ⊢  
8instantiation33, 29, 11  ⊢  
  : , : , :
9instantiation33, 29, 12  ⊢  
  : , : , :
10instantiation13, 14, 15*  ⊢  
  : , :
11assumption  ⊢  
12assumption  ⊢  
13theorem  ⊢  
 proveit.logic.equality.equals_reversal
14instantiation16, 17, 18, 35, 19, 20, 21, 26, 22*  ⊢  
  : , : , : , : , : , :
15theorem  ⊢  
 proveit.numbers.numerals.decimals.add_1_1
16theorem  ⊢  
 proveit.numbers.multiplication.distribute_through_sum
17axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
18theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
19theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
20instantiation23  ⊢  
  : , :
21instantiation33, 29, 24  ⊢  
  : , : , :
22instantiation25, 26  ⊢  
  :
23theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24instantiation33, 27, 28  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
26instantiation33, 29, 30  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
28instantiation33, 31, 32  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
30assumption  ⊢  
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
32instantiation33, 34, 35  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements