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	, , , , , ⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
2	instantiation	23, 26	⊢
	:
3	reference	18	⊢
4	reference	13	⊢
5	instantiation	7, 18, 13, 8	, , ⊢
	: , : , :
6	instantiation	9, 25, 26, 10	, , , ⊢
	: , : , :
7	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
8	instantiation	11, 12, 18, 13, 14	, , ⊢
	: , : , : , :
9	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
10	modus ponens	15, 16	, , , ⊢
11	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_complex_closure
12	assumption		⊢
13	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
14	instantiation	17, 18, 19	, ⊢
	: , :
15	instantiation	20, 31, 21, 22	, , ⊢
	: , : , : , : , : , :
16	assumption		⊢
17	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_is_linmap
18	instantiation	23, 25	⊢
	:
19	assumption		⊢
20	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
21	instantiation	24, 25, 26	, ⊢
	: , :
22	instantiation	27, 28	⊢
	: , :
23	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
24	theorem		⊢
	proveit.linear_algebra.matrices.complex_matrix_space_is_vec_space
25	assumption		⊢
26	assumption		⊢
27	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
28	instantiation	29, 30, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
31	assumption		⊢