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  ⊢  
  : , : , :
1reference17  ⊢  
2instantiation25, 4  ⊢  
  : , :
3instantiation5, 6  ⊢  
  :
4theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.int_within_complex
5axiom  ⊢  
 proveit.numbers.rounding.floor_is_an_int
6instantiation7, 8, 9  ⊢  
  : , :
7theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
8instantiation10, 11, 12  ⊢  
  : , :
9instantiation13, 14, 15, 16  ⊢  
  : , :
10theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
11instantiation17, 18, 19  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.physics.quantum.QPE._phase_is_real
13theorem  ⊢  
 proveit.numbers.division.div_real_closure
14instantiation31, 21, 20  ⊢  
  : , : , :
15instantiation31, 21, 22  ⊢  
  : , : , :
16instantiation23, 24  ⊢  
  :
17theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
18instantiation25, 26  ⊢  
  : , :
19theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
20instantiation31, 28, 27  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
22instantiation31, 28, 29  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
24theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
25theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
27instantiation31, 32, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29instantiation31, 32, 33  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
31theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2