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  ⊢  
  : , : , :
1reference25  ⊢  
2reference20  ⊢  
3instantiation4, 5  ⊢  
  :
4axiom  ⊢  
 proveit.numbers.rounding.floor_is_an_int
5instantiation6, 7, 8  ⊢  
  : , :
6theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
7instantiation25, 15, 9  ⊢  
  : , : , :
8instantiation10, 11, 12, 13  ⊢  
  : , : , :
9instantiation25, 20, 14  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
11theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
12instantiation25, 15, 16  ⊢  
  : , : , :
13axiom  ⊢  
 proveit.physics.quantum.QPE._phase_in_interval
14instantiation17, 18, 19  ⊢  
  : , :
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
16instantiation25, 20, 21  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
18instantiation25, 26, 22  ⊢  
  : , : , :
19instantiation25, 23, 24  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
21instantiation25, 26, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
23theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
24axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
25theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1