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	17	⊢
2	instantiation	4, 21, 34, 5, 6	, , , , , , , , ⊢
	: , : , : , :
3	instantiation	24, 7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_is_ket
5	instantiation	27, 21, 34, 9	, , , , , , , ⊢
	: , : , :
6	assumption		⊢
7	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
8	instantiation	10	⊢
	: , : , : , :
9	instantiation	17, 11, 12	, , , , , , , ⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
11	instantiation	32, 13, 21, 34, 14	, , , , , , , ⊢
	: , : , : , :
12	instantiation	24, 37, 15	⊢
	: , : , :
13	assumption		⊢
14	instantiation	27, 21, 34, 16	, , , , , , ⊢
	: , : , :
15	instantiation	48	⊢
	: , : , :
16	instantiation	17, 18, 19	, , , , , , ⊢
	: , : , :
17	theorem		⊢
	proveit.logic.equality.sub_left_side_into
18	instantiation	20, 21, 44, 34, 22, 23	, , , , , , ⊢
	: , : , : , : , :
19	instantiation	24, 25, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
21	instantiation	49, 47	⊢
	:
22	instantiation	27, 44, 34, 28	, , ⊢
	: , : , :
23	instantiation	29, 50, 47, 30	, , , , ⊢
	: , : , :
24	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
26	instantiation	31	⊢
	: , :
27	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
28	instantiation	32, 33, 44, 34, 35	, , ⊢
	: , : , : , :
29	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
30	instantiation	36, 37, 38, 39, 40, 41, 42	, , , , ⊢
	: , : , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_complex_closure
33	assumption		⊢
34	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
35	instantiation	43, 44, 45	, ⊢
	: , :
36	theorem		⊢
	proveit.linear_algebra.addition.closure
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
38	instantiation	46, 50, 47	, ⊢
	: , :
39	instantiation	48	⊢
	: , : , :
40	assumption		⊢
41	assumption		⊢
42	assumption		⊢
43	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_is_linmap
44	instantiation	49, 50	⊢
	:
45	assumption		⊢
46	theorem		⊢
	proveit.linear_algebra.matrices.complex_matrix_space_is_vec_space
47	assumption		⊢
48	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
49	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
50	assumption		⊢