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