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