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  ⊢  
  : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.elim_zero_any
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
4theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5instantiation8  ⊢  
  : , :
6instantiation22, 10, 9  ⊢  
  : , : , :
7instantiation22, 10, 11  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9instantiation22, 13, 12  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
11instantiation22, 13, 14  ⊢  
  : , : , :
12instantiation22, 16, 15  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
14instantiation22, 16, 17  ⊢  
  : , : , :
15instantiation18, 19  ⊢  
  :
16theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
17instantiation22, 20, 21  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.negation.int_closure
19instantiation22, 23, 24  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
21theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
22theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
24assumption  ⊢