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.booleans.conjunction.and_if_both
2	instantiation	4, 7, 8, 5, 10^*	⊢
	: , : , :
3	instantiation	6, 7, 8, 9, 12, 10^*	⊢
	: , : , : , :
4	theorem		⊢
	proveit.physics.quantum.algebra.state_space_preservation
5	instantiation	11, 12	⊢
	: , :
6	theorem		⊢
	proveit.physics.quantum.algebra.normalization_preservation
7	instantiation	13, 14, 15	⊢
	: , :
8	instantiation	16, 23	⊢
	:
9	instantiation	24, 17, 18	⊢
	: , : , :
10	instantiation	19, 20	⊢
	: , :
11	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
12	instantiation	21, 23	⊢
	:
13	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
15	instantiation	24, 22, 23	⊢
	: , : , :
16	theorem		⊢
	proveit.physics.quantum.QFT.invFT_is_unitary
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonneg_within_real_nonneg
18	instantiation	24, 25, 26	⊢
	: , : , :
19	theorem		⊢
	proveit.logic.equality.equals_reversal
20	axiom		⊢
	proveit.physics.quantum.QPE._Psi_def
21	theorem		⊢
	proveit.physics.quantum.QPE._psi_t_ket_is_normalized_vec
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
23	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
24	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_within_rational_nonneg
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements