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