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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.scalar_mult_factorization
2theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
3instantiation6, 7, 8, ,  ⊢  
  : , : , :
4instantiation30  ⊢  
  : , :
5instantiation9, 10, 11, 12, 13, , ,  ⊢  
  : , : , : , :
6theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
7instantiation27, 14, 21, ,  ⊢  
  : , :
8instantiation15, 16, 17, 18, 19, 20, 28, 29, 21, ,  ⊢  
  : , : , : , : , : , :
9theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
10instantiation22, 25  ⊢  
  :
11instantiation22, 24  ⊢  
  :
12instantiation23, 24, 25, 26, ,  ⊢  
  : , : , :
13assumption  ⊢  
14instantiation27, 28, 29,  ⊢  
  : , :
15theorem  ⊢  
 proveit.numbers.multiplication.disassociation
16axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
17theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
18theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
19theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
20instantiation30  ⊢  
  : , :
21assumption  ⊢  
22theorem  ⊢  
 proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
23theorem  ⊢  
 proveit.physics.quantum.algebra.qmult_matrix_is_linmap
24assumption  ⊢  
25assumption  ⊢  
26assumption  ⊢  
27theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
28assumption  ⊢  
29assumption  ⊢  
30theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq