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	8	⊢
2	instantiation	23, 4, 12, 25, 5	, , , , , , , ⊢
	: , : , : , :
3	instantiation	15, 28, 6	⊢
	: , : , :
4	assumption		⊢
5	instantiation	18, 12, 25, 7	, , , , , , ⊢
	: , : , :
6	instantiation	39	⊢
	: , : , :
7	instantiation	8, 9, 10	, , , , , , ⊢
	: , : , :
8	theorem		⊢
	proveit.logic.equality.sub_left_side_into
9	instantiation	11, 12, 35, 25, 13, 14	, , , , , , ⊢
	: , : , : , : , :
10	instantiation	15, 16, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
12	instantiation	40, 38	⊢
	:
13	instantiation	18, 35, 25, 19	, , ⊢
	: , : , :
14	instantiation	20, 41, 38, 21	, , , , ⊢
	: , : , :
15	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
17	instantiation	22	⊢
	: , :
18	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
19	instantiation	23, 24, 35, 25, 26	, , ⊢
	: , : , : , :
20	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
21	instantiation	27, 28, 29, 30, 31, 32, 33	, , , , ⊢
	: , : , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_complex_closure
24	assumption		⊢
25	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
26	instantiation	34, 35, 36	, ⊢
	: , :
27	theorem		⊢
	proveit.linear_algebra.addition.closure
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
29	instantiation	37, 41, 38	, ⊢
	: , :
30	instantiation	39	⊢
	: , : , :
31	assumption		⊢
32	assumption		⊢
33	assumption		⊢
34	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_is_linmap
35	instantiation	40, 41	⊢
	:
36	assumption		⊢
37	theorem		⊢
	proveit.linear_algebra.matrices.complex_matrix_space_is_vec_space
38	assumption		⊢
39	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
40	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
41	assumption		⊢