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