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, 8, 9	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	reference	47	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	instantiation	17, 11, 19, 20	⊢
	: , :
8	instantiation	48, 23, 12	⊢
	: , : , :
9	instantiation	13, 14	⊢
	:
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	48, 23, 15	⊢
	: , : , :
12	instantiation	16, 35	⊢
	:
13	theorem		⊢
	proveit.numbers.negation.complex_closure
14	instantiation	17, 18, 19, 20	⊢
	: , :
15	instantiation	48, 26, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
17	theorem		⊢
	proveit.numbers.division.div_complex_closure
18	instantiation	48, 23, 22	⊢
	: , : , :
19	instantiation	48, 23, 24	⊢
	: , : , :
20	instantiation	25, 30	⊢
	:
21	instantiation	48, 31, 35	⊢
	: , : , :
22	instantiation	48, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	28, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	48, 31, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
29	instantiation	33, 34	⊢
	: , :
30	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	41, 35, 36	⊢
	: , :
33	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
35	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
36	instantiation	48, 37, 38	⊢
	: , : , :
37	instantiation	39, 40, 45	⊢
	: , :
38	assumption		⊢
39	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
40	instantiation	41, 42, 43	⊢
	: , :
41	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
42	instantiation	44, 45	⊢
	:
43	instantiation	48, 46, 47	⊢
	: , : , :
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