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  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.absolute_value.weak_upper_bound
2instantiation4, 8, 11, 9  ⊢  
  : , : , :
3instantiation5, 6  ⊢  
  : , :
4theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
5theorem  ⊢  
 proveit.numbers.ordering.relax_less
6instantiation7, 8, 11, 9  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
8instantiation10, 11  ⊢  
  :
9instantiation12, 13  ⊢  
  :
10theorem  ⊢  
 proveit.numbers.negation.real_closure
11instantiation14, 15, 16, 17  ⊢  
  : , :
12theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
13assumption  ⊢  
14theorem  ⊢  
 proveit.numbers.division.div_real_closure
15instantiation27, 19, 18  ⊢  
  : , : , :
16instantiation27, 19, 20  ⊢  
  : , : , :
17instantiation21, 22  ⊢  
  :
18instantiation27, 24, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
20instantiation27, 24, 25  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
22theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
23instantiation27, 28, 26  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
25instantiation27, 28, 29  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
27theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2