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	, , , , , ⊢
	: , : , :
1	reference	23	⊢
2	reference	17	⊢
3	reference	31	⊢
4	instantiation	13, 5, 6	, , , , , ⊢
	: , : , :
5	instantiation	29, 7, 17, 31, 8	, , , , , ⊢
	: , : , : , :
6	instantiation	20, 9, 10	⊢
	: , : , :
7	assumption		⊢
8	instantiation	23, 17, 31, 11	, , , , ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
10	instantiation	12	⊢
	: , : , :
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, 34, 31, 18, 19	, , , , ⊢
	: , : , : , : , :
15	instantiation	20, 21, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
17	instantiation	36, 26	⊢
	:
18	instantiation	23, 34, 31, 24	, , ⊢
	: , : , :
19	instantiation	25, 37, 26, 27	, , ⊢
	: , : , :
20	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
22	instantiation	28	⊢
	: , :
23	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
24	instantiation	29, 30, 34, 31, 32	, , ⊢
	: , : , : , :
25	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
26	assumption		⊢
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
29	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_complex_closure
30	assumption		⊢
31	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
32	instantiation	33, 34, 35	, ⊢
	: , :
33	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_is_linmap
34	instantiation	36, 37	⊢
	:
35	assumption		⊢
36	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
37	assumption		⊢