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
2reference27  ⊢  
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5instantiation10  ⊢  
  : , :
6theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7instantiation25, 16, 11  ⊢  
  : , : , :
8instantiation12, 13  ⊢  
  :
9instantiation25, 16, 14  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11instantiation25, 20, 15  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.negation.complex_closure
13instantiation25, 16, 17  ⊢  
  : , : , :
14instantiation25, 20, 18  ⊢  
  : , : , :
15instantiation25, 23, 19  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
17instantiation25, 20, 21  ⊢  
  : , : , :
18instantiation25, 23, 22  ⊢  
  : , : , :
19assumption  ⊢  
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
21instantiation25, 23, 24  ⊢  
  : , : , :
22instantiation25, 26, 27  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
24assumption  ⊢  
25theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1