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	4	⊢
2	instantiation	4, 5, 6	⊢
	: , :
3	instantiation	7, 8, 9	⊢
	: , :
4	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
5	instantiation	37, 21, 10	⊢
	: , : , :
6	instantiation	37, 11, 12	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
8	instantiation	13, 14, 15, 16	⊢
	: , : , :
9	instantiation	17, 18	⊢
	:
10	instantiation	37, 24, 19	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
15	instantiation	37, 21, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
17	theorem		⊢
	proveit.numbers.negation.real_closure
18	instantiation	37, 21, 22	⊢
	: , : , :
19	instantiation	37, 35, 23	⊢
	: , : , :
20	instantiation	37, 24, 32	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	37, 24, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	37, 26, 27	⊢
	: , : , :
26	instantiation	28, 29, 34	⊢
	: , :
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
29	instantiation	30, 31, 32	⊢
	: , :
30	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
31	instantiation	33, 34	⊢
	:
32	instantiation	37, 35, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.negation.int_closure
34	instantiation	37, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
39	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos