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
3reference30  ⊢  
4reference33  ⊢  
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation10  ⊢  
  : , :
7instantiation11, 12, 13,  ⊢  
  : , : , :
8instantiation31, 15, 14  ⊢  
  : , : , :
9instantiation31, 15, 16  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
12instantiation17, 18  ⊢  
  : , :
13instantiation19, 20,  ⊢  
  :
14instantiation31, 22, 21  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
16instantiation31, 22, 23  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
18theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.int_within_complex
19axiom  ⊢  
 proveit.numbers.rounding.round_is_an_int
20instantiation24, 25, 26,  ⊢  
  : , :
21instantiation31, 28, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
23instantiation31, 28, 29  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
25assumption  ⊢  
26assumption  ⊢  
27instantiation31, 32, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29instantiation31, 32, 33  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
31theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1