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, 6, 7^*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.multiplication.weak_bound_via_right_factor_bound
2	reference	19	⊢
3	reference	9	⊢
4	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
5	instantiation	8, 9, 10, 11	⊢
	: , : , :
6	instantiation	12, 13	⊢
	: , :
7	instantiation	14, 15	⊢
	:
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
10	instantiation	27, 21, 16	⊢
	: , : , :
11	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
12	theorem		⊢
	proveit.numbers.ordering.relax_less
13	instantiation	17, 29	⊢
	:
14	theorem		⊢
	proveit.numbers.multiplication.mult_zero_right
15	instantiation	27, 18, 19	⊢
	: , : , :
16	instantiation	27, 25, 20	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	27, 21, 22	⊢
	: , : , :
20	instantiation	27, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	27, 25, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	instantiation	27, 28, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
29	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
^*equality replacement requirements