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	reference	31	⊢
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
3	instantiation	4, 5	, ⊢
	:
4	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
5	instantiation	6, 7	, ⊢
	:
6	theorem		⊢
	proveit.physics.quantum.QPE._alpha_are_complex
7	instantiation	8, 9, 10	, ⊢
	: , :
8	theorem		⊢
	proveit.physics.quantum.QPE._mod_add_closure
9	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
10	instantiation	31, 11, 12	, ⊢
	: , : , :
11	instantiation	20, 13, 14	⊢
	: , :
12	assumption		⊢
13	instantiation	24, 15, 21	⊢
	: , :
14	instantiation	29, 16	⊢
	:
15	instantiation	29, 25	⊢
	:
16	instantiation	24, 17, 21	⊢
	: , :
17	instantiation	31, 18, 19	⊢
	: , : , :
18	instantiation	20, 21, 22	⊢
	: , :
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
21	instantiation	31, 32, 23	⊢
	: , : , :
22	instantiation	24, 25, 26	⊢
	: , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
24	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
25	instantiation	31, 27, 28	⊢
	: , : , :
26	instantiation	29, 30	⊢
	:
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
28	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
29	theorem		⊢
	proveit.numbers.negation.int_closure
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2