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