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.multiplication.mult_complex_closure_bin
2theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
3instantiation4, 5, 6,  ⊢  
  : , :
4theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
5instantiation31, 11, 7  ⊢  
  : , : , :
6instantiation8, 9,  ⊢  
  :
7instantiation31, 14, 10  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.negation.complex_closure
9instantiation31, 11, 12,  ⊢  
  : , : , :
10instantiation31, 17, 13  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
12instantiation31, 14, 15,  ⊢  
  : , : , :
13instantiation31, 29, 16  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
15instantiation31, 17, 18,  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
17theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
18instantiation31, 19, 20,  ⊢  
  : , : , :
19instantiation21, 22, 23  ⊢  
  : , :
20assumption  ⊢  
21theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
22instantiation24, 25, 26  ⊢  
  : , :
23theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
24theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
25instantiation27, 28  ⊢  
  :
26instantiation31, 29, 30  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.negation.int_closure
28instantiation31, 32, 33  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
31theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
33assumption  ⊢