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