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