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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
0modus ponens1, 2  ⊢  
1instantiation3, 4  ⊢  
  : , : , : , : , : , : , :
2generalization5  ⊢  
3theorem  ⊢  
 proveit.core_expr_types.lambda_maps.general_lambda_substitution
4theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
5instantiation6, 7,  ⊢  
  : , : , :
6axiom  ⊢  
 proveit.logic.equality.substitution
7instantiation8, 9, 10,  ⊢  
  : , :
8axiom  ⊢  
 proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
9instantiation24, 12, 11  ⊢  
  : , : , :
10instantiation24, 12, 13  ⊢  
  : , : , :
11assumption  ⊢  
12theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
13instantiation24, 14, 15  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
15instantiation24, 16, 17  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
17instantiation24, 18, 19  ⊢  
  : , : , :
18instantiation20, 21, 22  ⊢  
  : , :
19assumption  ⊢  
20theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
21instantiation24, 25, 23  ⊢  
  : , : , :
22instantiation24, 25, 26  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
24theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4