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 type	requirements	statement
0	instantiation	1, 2, 3, 4, 5, 6, 7, 8, 9, 10	, , , , , , , , ⊢
	: , : , : , :
1	theorem		⊢
	proveit.physics.quantum.algebra.qmult_scalar_association
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
4	instantiation	11	⊢
	: , : , : , :
5	assumption		⊢
6	assumption		⊢
7	assumption		⊢
8	assumption		⊢
9	instantiation	11	⊢
	: , : , : , :
10	instantiation	19, 12, 13	, , , , ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
12	instantiation	14, 15, 16	, , , , ⊢
	: , :
13	instantiation	27, 17, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_left_closure
15	instantiation	19, 20, 21	, , , , ⊢
	: , : , :
16	instantiation	22, 39, 40	, ⊢
	: , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
18	instantiation	23	⊢
	: , : , :
19	theorem		⊢
	proveit.logic.equality.sub_left_side_into
20	instantiation	24, 34, 35, 25, 26	, , , , ⊢
	: , : , : , :
21	instantiation	27, 28, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_in_QmultCodomain
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
24	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_is_ket
25	instantiation	30, 34, 35, 31	, , , ⊢
	: , : , :
26	assumption		⊢
27	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
29	instantiation	32	⊢
	: , :
30	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
31	instantiation	33, 34, 39, 35, 36, 37	, , , ⊢
	: , : , : , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
33	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
34	instantiation	44, 42	⊢
	:
35	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
36	instantiation	38, 39, 40	, ⊢
	: , :
37	instantiation	41, 45, 42, 43	, , ⊢
	: , : , :
38	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_is_linmap
39	instantiation	44, 45	⊢
	:
40	assumption		⊢
41	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
42	assumption		⊢
43	assumption		⊢
44	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
45	assumption		⊢