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