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, 18, 19, 5, 6	, ⊢
	: , : , : , :
3	instantiation	7, 8, 9	⊢
	: , : , :
4	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_is_ket
5	instantiation	17, 18, 19, 10	⊢
	: , : , :
6	instantiation	11, 37, 12	⊢
	: , :
7	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
8	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
9	instantiation	13	⊢
	: , :
10	instantiation	14, 18, 19, 15, 16	⊢
	: , : , : , : , :
11	theorem		⊢
	proveit.physics.quantum.algebra.num_ket_in_register_space
12	assumption		⊢
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
15	instantiation	17, 18, 19, 20	⊢
	: , : , :
16	instantiation	21, 30, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
18	instantiation	23, 30	⊢
	:
19	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
20	instantiation	24, 37, 25	⊢
	: , :
21	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
22	instantiation	26, 27, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
24	theorem		⊢
	proveit.physics.quantum.algebra.num_bra_is_lin_map
25	assumption		⊢
26	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
27	instantiation	29, 30	⊢
	:
28	instantiation	31, 37	⊢
	:
29	theorem		⊢
	proveit.linear_algebra.matrices.unitaries_are_matrices
30	instantiation	32, 33, 34	⊢
	: , :
31	theorem		⊢
	proveit.physics.quantum.QFT.invFT_is_unitary
32	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
34	instantiation	35, 36, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
37	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos