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	reference	47	⊢
4	reference	45	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	instantiation	11, 12	⊢
	:
8	instantiation	48, 15, 13	⊢
	: , : , :
9	instantiation	48, 15, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	theorem		⊢
	proveit.numbers.negation.complex_closure
12	instantiation	48, 15, 16	⊢
	: , : , :
13	instantiation	22, 18	⊢
	:
14	instantiation	17, 18, 19	⊢
	: , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	48, 26, 20	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
18	instantiation	48, 26, 21	⊢
	: , : , :
19	instantiation	22, 23	⊢
	:
20	instantiation	48, 32, 24	⊢
	: , : , :
21	instantiation	48, 32, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.negation.real_closure
23	instantiation	48, 26, 27	⊢
	: , : , :
24	instantiation	48, 28, 29	⊢
	: , : , :
25	instantiation	48, 30, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	48, 32, 41	⊢
	: , : , :
28	instantiation	34, 41, 33	⊢
	: , :
29	assumption		⊢
30	instantiation	34, 35, 44	⊢
	: , :
31	instantiation	36, 37	⊢
	: , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	39, 44, 38	⊢
	: , :
34	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
35	instantiation	39, 40, 41	⊢
	: , :
36	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
37	assumption		⊢
38	instantiation	43, 42	⊢
	:
39	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
40	instantiation	43, 44	⊢
	:
41	instantiation	48, 46, 45	⊢
	: , : , :
42	instantiation	48, 46, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.negation.int_closure
44	instantiation	48, 49, 50	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
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