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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.multiplication.mult_neg_right
2reference6  ⊢  
3instantiation22, 7, 10  ⊢  
  : , : , :
4instantiation5, 6  ⊢  
  :
5theorem  ⊢  
 proveit.numbers.multiplication.elim_one_right
6instantiation22, 7, 8  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
8instantiation9, 10, 11, 12  ⊢  
  : , :
9theorem  ⊢  
 proveit.numbers.division.div_real_closure
10instantiation22, 14, 13  ⊢  
  : , : , :
11instantiation22, 14, 15  ⊢  
  : , : , :
12instantiation16, 17  ⊢  
  :
13instantiation22, 19, 18  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
15instantiation22, 19, 20  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
17theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
18instantiation22, 23, 21  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
20instantiation22, 23, 24  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
22theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
24theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements