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	, , , , , ⊢
	: , : , : , :
1	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_is_ket
2	reference	9	⊢
3	reference	10	⊢
4	instantiation	6, 9, 10, 7	, , , , ⊢
	: , : , :
5	assumption		⊢
6	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
7	instantiation	8, 9, 14, 10, 11, 12	, , , , ⊢
	: , : , : , : , :
8	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
9	instantiation	18, 26	⊢
	:
10	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
11	instantiation	13, 14, 15	, ⊢
	: , :
12	instantiation	16, 25, 26, 17	, , , ⊢
	: , : , :
13	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_is_linmap
14	instantiation	18, 25	⊢
	:
15	assumption		⊢
16	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
17	modus ponens	19, 20	, , , ⊢
18	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
19	instantiation	21, 31, 22, 23	, , ⊢
	: , : , : , : , : , :
20	assumption		⊢
21	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
22	instantiation	24, 25, 26	, ⊢
	: , :
23	instantiation	27, 28	⊢
	: , :
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		⊢