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.multiplication.disassociation
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3reference33  ⊢  
4reference29  ⊢  
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation10  ⊢  
  : , :
7instantiation34, 16, 11  ⊢  
  : , : , :
8instantiation34, 16, 19  ⊢  
  : , : , :
9instantiation12, 13, 14,  ⊢  
  : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11assumption  ⊢  
12theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
13instantiation34, 16, 15  ⊢  
  : , : , :
14instantiation34, 16, 17  ⊢  
  : , : , :
15assumption  ⊢  
16theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
17instantiation18, 19, 20  ⊢  
  : , :
18theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
19instantiation34, 22, 21  ⊢  
  : , : , :
20instantiation34, 22, 23  ⊢  
  : , : , :
21instantiation34, 25, 24  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
23instantiation34, 25, 26  ⊢  
  : , : , :
24instantiation34, 27, 28  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
26instantiation34, 35, 29  ⊢  
  : , : , :
27instantiation30, 31, 32  ⊢  
  : , :
28assumption  ⊢  
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
30theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
31instantiation34, 35, 33  ⊢  
  : , : , :
32instantiation34, 35, 36  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4