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