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