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,  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.exponentiation.exp_real_closure_nat_power
2instantiation31, 4, 5,  ⊢  
  : , : , :
3reference33  ⊢  
4theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
5instantiation31, 6, 7,  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
7instantiation31, 8, 9,  ⊢  
  : , : , :
8instantiation18, 10, 11  ⊢  
  : , :
9assumption  ⊢  
10instantiation24, 12, 19  ⊢  
  : , :
11instantiation24, 25, 13  ⊢  
  : , :
12instantiation31, 14, 15  ⊢  
  : , : , :
13instantiation31, 16, 17  ⊢  
  : , : , :
14instantiation18, 19, 20  ⊢  
  : , :
15assumption  ⊢  
16theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
17instantiation21, 22  ⊢  
  :
18theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
19instantiation31, 32, 23  ⊢  
  : , : , :
20instantiation24, 25, 26  ⊢  
  : , :
21theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
22theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
23theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
24theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
25instantiation31, 27, 28  ⊢  
  : , : , :
26instantiation29, 30  ⊢  
  :
27theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
28theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
29theorem  ⊢  
 proveit.numbers.negation.int_closure
30instantiation31, 32, 33  ⊢  
  : , : , :
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