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, 3, , , , , , ,  ⊢  
  : , : , :
1reference15  ⊢  
2instantiation4, 34, 35, 5, 6, , , , , , ,  ⊢  
  : , : , : , :
3instantiation25, 7, 8  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
5instantiation29, 34, 35, 9, , , ,  ⊢  
  : , : , :
6instantiation10, 11, 12, 13, , , ,  ⊢  
  : , : , : , :
7theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
8instantiation14  ⊢  
  : , : , :
9instantiation15, 16, 17, , , ,  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.linear_algebra.addition.binary_closure
11instantiation18, 40  ⊢  
  :
12instantiation19, 35, 34, 20, 21, , ,  ⊢  
  : , : , : , :
13assumption  ⊢  
14theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
15theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
16instantiation22, 23, 34, 35, 24, , , ,  ⊢  
  : , : , : , :
17instantiation25, 26, 27  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.linear_algebra.complex_vec_set_is_vec_space
19theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_ket_is_ket
20instantiation38, 40, 39, 28, ,  ⊢  
  : , : , :
21assumption  ⊢  
22theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_complex_closure
23assumption  ⊢  
24instantiation29, 34, 35, 30, , ,  ⊢  
  : , : , :
25axiom  ⊢  
 proveit.physics.quantum.algebra.multi_qmult_def
26theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
27instantiation31  ⊢  
  : , :
28assumption  ⊢  
29theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_is_linmap
30instantiation32, 33, 34, 35, 36, , ,  ⊢  
  : , : , : , :
31theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_complex_op_closure
33assumption  ⊢  
34instantiation37, 40  ⊢  
  :
35instantiation37, 39  ⊢  
  :
36instantiation38, 39, 40, 41, ,  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
38theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_matrix_is_linmap
39assumption  ⊢  
40assumption  ⊢  
41assumption  ⊢