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