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