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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.physics.quantum.algebra.qmult_op_ket_is_ket
2reference13  ⊢  
3reference14  ⊢  
4instantiation12, 13, 14, 6  ⊢  
  : , : , :
5instantiation7, 32, 8  ⊢  
  : , :
6instantiation9, 13, 14, 10, 11  ⊢  
  : , : , : , : , :
7theorem  ⊢  
 proveit.physics.quantum.algebra.num_ket_in_register_space
8assumption  ⊢  
9theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_op_is_op
10instantiation12, 13, 14, 15  ⊢  
  : , : , :
11instantiation16, 25, 17  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_is_linmap
13instantiation18, 25  ⊢  
  :
14theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
15instantiation19, 32, 20  ⊢  
  : , :
16theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_matrix_is_linmap
17instantiation21, 22, 23  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
19theorem  ⊢  
 proveit.physics.quantum.algebra.num_bra_is_lin_map
20assumption  ⊢  
21theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
22instantiation24, 25  ⊢  
  :
23instantiation26, 32  ⊢  
  :
24theorem  ⊢  
 proveit.linear_algebra.matrices.unitaries_are_matrices
25instantiation27, 28, 29  ⊢  
  : , :
26theorem  ⊢  
 proveit.physics.quantum.QFT.invFT_is_unitary
27theorem  ⊢  
 proveit.numbers.exponentiation.exp_natpos_closure
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
29instantiation30, 31, 32  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
32axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos