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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  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation4, 25, 5, 6, 7, 8  ⊢  
  : , : , : , :
3instantiation9, 18, 13, 10  ⊢  
  : , : , :
4axiom  ⊢  
 proveit.core_expr_types.operations.operands_substitution
5instantiation11  ⊢  
  : , :
6instantiation11  ⊢  
  : , :
7instantiation12, 13  ⊢  
  :
8instantiation14, 18, 15*  ⊢  
  : , :
9theorem  ⊢  
 proveit.numbers.addition.subtraction.subtract_from_add
10theorem  ⊢  
 proveit.numbers.numerals.decimals.add_1_1
11theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
13instantiation28, 20, 16  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.negation.pos_times_neg
15instantiation17, 18  ⊢  
  :
16instantiation28, 23, 19  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.multiplication.elim_one_right
18instantiation28, 20, 21  ⊢  
  : , : , :
19instantiation28, 26, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
21instantiation28, 23, 24  ⊢  
  : , : , :
22instantiation28, 29, 25  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
24instantiation28, 26, 27  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
26theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
27instantiation28, 29, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements