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,  ⊢  
  : , :
1reference5  ⊢  
2instantiation5, 11, 4  ⊢  
  : , :
3instantiation5, 6, 7,  ⊢  
  : , :
4instantiation36, 8, 9  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
6instantiation10, 11, 12,  ⊢  
  : , :
7theorem  ⊢  
 proveit.physics.quantum.QPE._phase_is_real
8theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
9theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
10theorem  ⊢  
 proveit.numbers.exponentiation.exp_real_closure_nat_power
11instantiation36, 13, 14  ⊢  
  : , : , :
12instantiation15, 16,  ⊢  
  :
13theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
14instantiation36, 17, 18  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.negation.nat_closure
16instantiation19, 20, 21,  ⊢  
  :
17theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
18instantiation36, 34, 22  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
20instantiation36, 23, 25,  ⊢  
  : , : , :
21instantiation24, 27, 28, 25,  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
23instantiation26, 27, 28  ⊢  
  : , :
24theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_upper_bound
25assumption  ⊢  
26theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
27instantiation29, 30, 31  ⊢  
  : , :
28theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
29theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
30instantiation32, 33  ⊢  
  :
31instantiation36, 34, 35  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.negation.int_closure
33instantiation36, 37, 38  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
36theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
38assumption  ⊢