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.multiplication.disassociation
2	reference	39	⊢
3	reference	49	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	10	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	47, 19, 11	⊢
	: , : , :
8	instantiation	47, 19, 12	⊢
	: , : , :
9	instantiation	13, 14, 15	⊢
	: , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	47, 24, 16	⊢
	: , : , :
12	instantiation	47, 24, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
14	instantiation	47, 19, 18	⊢
	: , : , :
15	instantiation	47, 19, 20	⊢
	: , : , :
16	instantiation	47, 30, 37	⊢
	: , : , :
17	instantiation	47, 21, 22	⊢
	: , : , :
18	instantiation	47, 24, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	47, 24, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
22	instantiation	26, 27, 28	⊢
	: , :
23	instantiation	47, 30, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	47, 30, 42	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
27	instantiation	47, 32, 31	⊢
	: , : , :
28	instantiation	47, 32, 33	⊢
	: , : , :
29	instantiation	47, 34, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
34	instantiation	36, 37, 38	⊢
	: , :
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
37	instantiation	47, 48, 39	⊢
	: , : , :
38	instantiation	40, 41, 42	⊢
	: , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
40	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
41	instantiation	47, 43, 44	⊢
	: , : , :
42	instantiation	45, 46	⊢
	:
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
44	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
45	theorem		⊢
	proveit.numbers.negation.int_closure
46	instantiation	47, 48, 49	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat2