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