logo

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  ⊢  
  : , : , :
1reference3  ⊢  
2instantiation3, 4  ⊢  
  : , : , :
3axiom  ⊢  
 proveit.logic.equality.substitution
4instantiation5, 6, 10, 7*  ⊢  
  : , :
5theorem  ⊢  
 proveit.numbers.multiplication.mult_neg_left
6instantiation20, 13, 8  ⊢  
  : , : , :
7instantiation9, 10  ⊢  
  :
8instantiation20, 11, 12  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
10instantiation20, 13, 14  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
12instantiation20, 15, 16  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
14instantiation17, 18, 19  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
16instantiation20, 21, 22  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
18instantiation23, 24  ⊢  
  : , :
19axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
20theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
21theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
23theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements