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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, 5*,  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_cardinality
2theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
3reference20  ⊢  
4assumption  ⊢  
5instantiation6, 7, 8  ⊢  
  : , : , :
6axiom  ⊢  
 proveit.logic.equality.equals_transitivity
7instantiation9, 10  ⊢  
  : , : , :
8instantiation11, 27, 12, 13  ⊢  
  : , : , : , :
9axiom  ⊢  
 proveit.logic.equality.substitution
10theorem  ⊢  
 proveit.numbers.negation.negated_zero
11theorem  ⊢  
 proveit.numbers.addition.elim_zero_any
12instantiation25, 15, 14  ⊢  
  : , : , :
13instantiation25, 15, 16  ⊢  
  : , : , :
14instantiation25, 18, 17  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
16instantiation25, 18, 19  ⊢  
  : , : , :
17instantiation25, 21, 20  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
19instantiation25, 21, 22  ⊢  
  : , : , :
20instantiation25, 23, 24  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
22instantiation25, 26, 27  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
24assumption  ⊢  
25theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements