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.numbers.division.div_complex_closure
2instantiation28, 11, 5  ⊢  
  : , : , :
3instantiation6, 7  ⊢  
  :
4instantiation8, 15, 9  ⊢  
  : , :
5instantiation28, 17, 10  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.exponentiation.sqrt_complex_closure
7instantiation28, 11, 12  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
9instantiation13, 14, 15  ⊢  
  : , :
10instantiation28, 23, 16  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
12instantiation28, 17, 18  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.division.div_rational_nonzero_closure
14instantiation28, 20, 19  ⊢  
  : , : , :
15instantiation28, 20, 21  ⊢  
  : , : , :
16instantiation28, 29, 22  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation28, 23, 24  ⊢  
  : , : , :
19instantiation28, 26, 25  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
21instantiation28, 26, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
23theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
24instantiation28, 29, 30  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
26theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
27theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
28theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2