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, 6, 33, 7, 8, 12, 9, 11	⊢
	: , : , : , : , : , :
3	instantiation	10, 11, 12, 13	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	14	⊢
	: , :
9	instantiation	44, 17, 15	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
11	instantiation	44, 17, 16	⊢
	: , : , :
12	instantiation	44, 17, 18	⊢
	: , : , :
13	instantiation	19	⊢
	:
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	44, 22, 20	⊢
	: , : , :
16	instantiation	44, 22, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	44, 22, 23	⊢
	: , : , :
19	axiom		⊢
	proveit.logic.equality.equals_reflexivity
20	instantiation	44, 25, 24	⊢
	: , : , :
21	instantiation	44, 25, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	44, 26, 27	⊢
	: , : , :
24	instantiation	42, 28	⊢
	:
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
27	instantiation	29, 30, 31	⊢
	: , :
28	instantiation	44, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
30	instantiation	44, 34, 35	⊢
	: , : , :
31	instantiation	36, 37, 38	⊢
	: , :
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
35	instantiation	44, 39, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
37	instantiation	44, 45, 41	⊢
	: , : , :
38	instantiation	42, 43	⊢
	:
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
41	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
42	theorem		⊢
	proveit.numbers.negation.int_closure
43	instantiation	44, 45, 46	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
46	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos