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