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