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