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	⊢
	: , : , :
1	reference	5	⊢
2	instantiation	7, 3, 4	⊢
	: , : , :
3	instantiation	5, 6	⊢
	: , : , :
4	instantiation	7, 8, 9	⊢
	: , : , :
5	axiom		⊢
	proveit.logic.equality.substitution
6	instantiation	10, 24, 17	⊢
	: , :
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	11, 12, 50, 40, 13, 14, 18, 15, 17	⊢
	: , : , : , : , : , :
9	instantiation	16, 17, 18, 19	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
11	theorem		⊢
	proveit.numbers.addition.disassociation
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	instantiation	20	⊢
	: , :
15	instantiation	48, 28, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
17	instantiation	48, 28, 22	⊢
	: , : , :
18	instantiation	23, 24	⊢
	:
19	instantiation	25	⊢
	:
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	instantiation	48, 31, 26	⊢
	: , : , :
22	instantiation	48, 31, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.negation.complex_closure
24	instantiation	48, 28, 29	⊢
	: , : , :
25	axiom		⊢
	proveit.logic.equality.equals_reflexivity
26	instantiation	48, 33, 30	⊢
	: , : , :
27	instantiation	48, 33, 38	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	48, 31, 32	⊢
	: , : , :
30	instantiation	46, 38	⊢
	:
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	48, 33, 34	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	48, 35, 36	⊢
	: , : , :
35	instantiation	37, 38, 39	⊢
	: , :
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
38	instantiation	48, 49, 40	⊢
	: , : , :
39	instantiation	41, 42, 43	⊢
	: , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
41	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
42	instantiation	48, 44, 45	⊢
	: , : , :
43	instantiation	46, 47	⊢
	:
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
45	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
46	theorem		⊢
	proveit.numbers.negation.int_closure
47	instantiation	48, 49, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2