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