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  ⊢  
  : , : , :
1reference11  ⊢  
2theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
3instantiation11, 4, 5  ⊢  
  : , : , :
4instantiation6, 7, 8  ⊢  
  : , :
5assumption  ⊢  
6theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
7instantiation11, 9, 10  ⊢  
  : , : , :
8instantiation11, 12, 13  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
10theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
11theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
12theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
13instantiation14, 23, 15, 16  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
15instantiation17, 23, 18  ⊢  
  :
16theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
17theorem  ⊢  
 proveit.numbers.numerals.decimals.n_in_digits
18instantiation19, 20, 21  ⊢  
  : , :
19theorem  ⊢  
 proveit.logic.booleans.conjunction.and_if_both
20instantiation22, 23  ⊢  
  :
21instantiation24, 25  ⊢  
  :
22theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_lower_bound
23theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
24theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
25theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat9