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,  ⊢  
  : , : , : , :
1theorem  ⊢  
 proveit.linear_algebra.matrices.exponentiation.unital2pi_eigen_exp_application
2instantiation5, 6, 7,  ⊢  
  : , :
3instantiation8, 9, 10, 11  ⊢  
  : , : , :
4axiom  ⊢  
 proveit.physics.quantum.QPE._eigen_uu
5theorem  ⊢  
 proveit.numbers.exponentiation.exp_natpos_closure
6theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
7instantiation12, 13,  ⊢  
  :
8theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
9theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
10instantiation33, 14, 15  ⊢  
  : , : , :
11axiom  ⊢  
 proveit.physics.quantum.QPE._phase_in_interval
12theorem  ⊢  
 proveit.numbers.negation.nat_closure
13instantiation16, 17, 18,  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
15instantiation33, 19, 28  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
17instantiation33, 20, 22,  ⊢  
  : , : , :
18instantiation21, 24, 25, 22,  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
20instantiation23, 24, 25  ⊢  
  : , :
21theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_upper_bound
22assumption  ⊢  
23theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
24instantiation26, 27, 28  ⊢  
  : , :
25theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
26theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
27instantiation29, 30  ⊢  
  :
28instantiation33, 31, 32  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.negation.int_closure
30instantiation33, 34, 35  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
33theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
35assumption  ⊢