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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,  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
2instantiation4, 18, 19, 5, 6,  ⊢  
  : , : , : , :
3instantiation7, 8, 9  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
5instantiation17, 18, 19, 10  ⊢  
  : , : , :
6instantiation11, 37, 12  ⊢  
  : , :
7axiom  ⊢  
 proveit.physics.quantum.algebra.multi_qmult_def
8theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
9instantiation13  ⊢  
  : , :
10instantiation14, 18, 19, 15, 16  ⊢  
  : , : , : , : , :
11theorem  ⊢  
 proveit.physics.quantum.algebra.num_ket_in_register_space
12assumption  ⊢  
13theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_op_is_op
15instantiation17, 18, 19, 20  ⊢  
  : , : , :
16instantiation21, 30, 22  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_is_linmap
18instantiation23, 30  ⊢  
  :
19theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
20instantiation24, 37, 25  ⊢  
  : , :
21theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_matrix_is_linmap
22instantiation26, 27, 28  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
24theorem  ⊢  
 proveit.physics.quantum.algebra.num_bra_is_lin_map
25assumption  ⊢  
26theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
27instantiation29, 30  ⊢  
  :
28instantiation31, 37  ⊢  
  :
29theorem  ⊢  
 proveit.linear_algebra.matrices.unitaries_are_matrices
30instantiation32, 33, 34  ⊢  
  : , :
31theorem  ⊢  
 proveit.physics.quantum.QFT.invFT_is_unitary
32theorem  ⊢  
 proveit.numbers.exponentiation.exp_natpos_closure
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
34instantiation35, 36, 37  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
37axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos