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  ⊢  
  :
1theorem  ⊢  
 proveit.numbers.negation.real_closure
2instantiation26, 3, 4  ⊢  
  : , : , :
3theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
4instantiation5, 6, 7  ⊢  
  : , :
5theorem  ⊢  
 proveit.numbers.multiplication.mult_rational_closure_bin
6instantiation26, 8, 9  ⊢  
  : , : , :
7instantiation10, 11, 12, 13  ⊢  
  : , :
8theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
9instantiation14, 15, 16  ⊢  
  : , :
10theorem  ⊢  
 proveit.numbers.division.div_rational_closure
11instantiation26, 18, 17  ⊢  
  : , : , :
12instantiation26, 18, 19  ⊢  
  : , : , :
13instantiation20, 28  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.division.div_rational_pos_closure
15instantiation26, 22, 21  ⊢  
  : , : , :
16instantiation26, 22, 23  ⊢  
  : , : , :
17instantiation26, 24, 25  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
19instantiation26, 27, 28  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
21theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
23theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
24theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
26theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
28theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos