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, 29, 39, 7, 9, 8, 5, 10, 11	⊢
	: , : , : , : , : , :
3	instantiation	6, 7, 39, 8, 9, 10, 11	⊢
	: , : , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
6	theorem		⊢
	proveit.numbers.addition.elim_zero_any
7	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	12	⊢
	: , :
10	instantiation	13, 14	⊢
	:
11	instantiation	37, 16, 15	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	theorem		⊢
	proveit.numbers.negation.complex_closure
14	instantiation	37, 16, 17	⊢
	: , : , :
15	instantiation	37, 19, 18	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	37, 19, 20	⊢
	: , : , :
18	instantiation	37, 22, 21	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
20	instantiation	37, 22, 23	⊢
	: , : , :
21	instantiation	35, 27	⊢
	:
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	37, 24, 25	⊢
	: , : , :
24	instantiation	26, 27, 28	⊢
	: , :
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
27	instantiation	37, 38, 29	⊢
	: , : , :
28	instantiation	30, 31, 32	⊢
	: , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
30	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
31	instantiation	37, 33, 34	⊢
	: , : , :
32	instantiation	35, 36	⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
34	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
35	theorem		⊢
	proveit.numbers.negation.int_closure
36	instantiation	37, 38, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2