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	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_right_closure
2	assumption		⊢
3	instantiation	4, 5	, , , , , ⊢
	:
4	theorem		⊢
	proveit.physics.quantum.algebra.qmult_nested_closure
5	instantiation	15, 6, 7	, , , , , ⊢
	: , : , :
6	instantiation	8, 29, 30, 9, 10	, , , , , ⊢
	: , : , : , :
7	instantiation	21, 11, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
9	instantiation	24, 29, 30, 13	, , , , ⊢
	: , : , :
10	assumption		⊢
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, 29, 30, 20	, , , , ⊢
	: , : , : , :
17	instantiation	21, 22, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_complex_closure
19	assumption		⊢
20	instantiation	24, 29, 30, 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, 29, 30, 31	, , , ⊢
	: , : , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
28	assumption		⊢
29	instantiation	32, 35	⊢
	:
30	instantiation	32, 34	⊢
	:
31	instantiation	33, 34, 35, 36	, , ⊢
	: , : , :
32	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
33	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
34	assumption		⊢
35	assumption		⊢
36	assumption		⊢