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	⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
2	reference	38	⊢
3	instantiation	39, 17, 28	⊢
	: , : , :
4	instantiation	39, 17, 6	⊢
	: , : , :
5	instantiation	39, 17, 7	⊢
	: , : , :
6	instantiation	8, 9, 10	⊢
	: , : , :
7	instantiation	39, 11, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
9	instantiation	13, 14	⊢
	: , :
10	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
12	instantiation	15, 16	⊢
	:
13	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
15	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
16	instantiation	39, 17, 18	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	19, 20, 23, 21	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
20	instantiation	22, 23	⊢
	:
21	instantiation	24, 25	⊢
	:
22	theorem		⊢
	proveit.numbers.negation.real_closure
23	instantiation	26, 27, 28, 29	⊢
	: , :
24	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.division.div_real_closure
27	instantiation	39, 31, 30	⊢
	: , : , :
28	instantiation	39, 31, 32	⊢
	: , : , :
29	instantiation	33, 34	⊢
	:
30	instantiation	39, 36, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	39, 36, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
35	instantiation	39, 40, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	39, 40, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat2