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