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