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