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