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, 5, 6, 7	, , , , , ⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.physics.quantum.algebra.qmult_pulling_scalar_out_front
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
3	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
4	assumption		⊢
5	instantiation	8	⊢
	: , : , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	9, 10, 11	, , , , ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
9	theorem		⊢
	proveit.logic.equality.sub_left_side_into
10	instantiation	12, 23, 24, 13, 14	, , , , ⊢
	: , : , : , :
11	instantiation	15, 16, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
13	instantiation	18, 23, 24, 19	, , , ⊢
	: , : , :
14	assumption		⊢
15	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
17	instantiation	20	⊢
	: , :
18	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
19	instantiation	21, 22, 23, 24, 25	, , , ⊢
	: , : , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
22	assumption		⊢
23	instantiation	26, 29	⊢
	:
24	instantiation	26, 28	⊢
	:
25	instantiation	27, 28, 29, 30	, , ⊢
	: , : , :
26	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
27	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
28	assumption		⊢
29	assumption		⊢
30	assumption		⊢