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