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	17	⊢
2	instantiation	17, 4, 5	⊢
	: , :
3	instantiation	6, 7, 8	⊢
	: , :
4	instantiation	48, 22, 9	⊢
	: , : , :
5	instantiation	48, 10, 11	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
7	instantiation	12, 13	⊢
	:
8	instantiation	14, 15	⊢
	:
9	instantiation	48, 24, 16	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
12	theorem		⊢
	proveit.numbers.negation.real_closure
13	instantiation	17, 18, 19	⊢
	: , :
14	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
15	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
16	instantiation	48, 46, 20	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
18	instantiation	48, 22, 21	⊢
	: , : , :
19	instantiation	48, 22, 23	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
21	instantiation	48, 24, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	48, 26, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	48, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
27	instantiation	30, 31, 32	⊢
	: , :
28	instantiation	33, 34, 45	⊢
	: , :
29	assumption		⊢
30	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
31	instantiation	48, 35, 36	⊢
	: , : , :
32	instantiation	44, 37	⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
34	instantiation	38, 39, 40	⊢
	: , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
36	instantiation	48, 41, 42	⊢
	: , : , :
37	instantiation	48, 49, 43	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
39	instantiation	44, 45	⊢
	:
40	instantiation	48, 46, 47	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
43	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
44	theorem		⊢
	proveit.numbers.negation.int_closure
45	instantiation	48, 49, 50	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
50	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos