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,  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.disassociation
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3reference45  ⊢  
4reference33  ⊢  
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation10  ⊢  
  : , :
7instantiation43, 15, 11,  ⊢  
  : , : , :
8reference13  ⊢  
9instantiation12, 13  ⊢  
  :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11instantiation43, 18, 14,  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.negation.complex_closure
13instantiation43, 15, 16  ⊢  
  : , : , :
14instantiation43, 22, 17,  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
16instantiation43, 18, 19  ⊢  
  : , : , :
17instantiation43, 20, 21,  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
19instantiation43, 22, 29  ⊢  
  : , : , :
20instantiation28, 23, 24  ⊢  
  : , :
21assumption  ⊢  
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
23instantiation43, 25, 26  ⊢  
  : , : , :
24instantiation34, 35, 27  ⊢  
  : , :
25instantiation28, 29, 30  ⊢  
  : , :
26assumption  ⊢  
27instantiation43, 31, 32  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
29instantiation43, 44, 33  ⊢  
  : , : , :
30instantiation34, 35, 36  ⊢  
  : , :
31theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
32instantiation37, 38  ⊢  
  :
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
34theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
35instantiation43, 39, 40  ⊢  
  : , : , :
36instantiation41, 42  ⊢  
  :
37theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
38theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
39theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
40theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
41theorem  ⊢  
 proveit.numbers.negation.int_closure
42instantiation43, 44, 45  ⊢  
  : , : , :
43theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
45theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2