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_pulling_scalar_out_front
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
4	assumption		⊢
5	reference	13	⊢
6	instantiation	17, 7, 8	, , , , , ⊢
	: , : , :
7	instantiation	9, 22, 23, 10, 11	, , , , , ⊢
	: , : , : , :
8	instantiation	25, 12, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
10	instantiation	14, 22, 23, 15	, , , , ⊢
	: , : , :
11	assumption		⊢
12	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
13	instantiation	16	⊢
	: , : , :
14	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
15	instantiation	17, 18, 19	, , , , ⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
17	theorem		⊢
	proveit.logic.equality.sub_left_side_into
18	instantiation	20, 21, 22, 23, 24	, , , , ⊢
	: , : , : , :
19	instantiation	25, 26, 27	⊢
	: , : , :
20	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
21	instantiation	28, 29, 30, 31	, ⊢
	: , : , :
22	instantiation	32, 35	⊢
	:
23	instantiation	32, 34	⊢
	:
24	instantiation	33, 34, 35, 36	, , ⊢
	: , : , :
25	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
27	instantiation	37	⊢
	: , :
28	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_ket_closure
29	assumption		⊢
30	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
31	assumption		⊢
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		⊢
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq