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