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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  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.substitution
2instantiation3, 4, 5  ⊢  
  : , :
3theorem  ⊢  
 proveit.numbers.multiplication.commutation
4instantiation22, 7, 6  ⊢  
  : , : , :
5instantiation22, 7, 8  ⊢  
  : , : , :
6instantiation9, 10, 21  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
8instantiation22, 11, 12  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
10instantiation13, 14  ⊢  
  : , :
11theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
12instantiation22, 15, 16  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
14theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
15theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
16instantiation17, 18, 19  ⊢  
  : , :
17theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
18instantiation22, 20, 21  ⊢  
  : , : , :
19instantiation22, 23, 24  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
21assumption  ⊢  
22theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
24theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1