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, 5, 6, 7	⊢
	: , : , : , :
3	axiom		⊢
	proveit.physics.quantum.QPE._Psi_def
4	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_is_ket
5	instantiation	8, 18	⊢
	:
6	instantiation	9, 18, 10	⊢
	: , : , :
7	instantiation	11, 12	⊢
	: , :
8	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
9	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
10	instantiation	13, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
12	instantiation	16, 25	⊢
	:
13	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
14	instantiation	17, 18	⊢
	:
15	instantiation	19, 25	⊢
	:
16	theorem		⊢
	proveit.physics.quantum.QPE._psi_t_ket_is_normalized_vec
17	theorem		⊢
	proveit.linear_algebra.matrices.unitaries_are_matrices
18	instantiation	20, 21, 22	⊢
	: , :
19	theorem		⊢
	proveit.physics.quantum.QFT.invFT_is_unitary
20	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
22	instantiation	23, 24, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
25	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos