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