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	⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 12, 24, 19, 4	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
4	instantiation	5, 6, 7	⊢
	: , : , :
5	theorem		⊢
	proveit.logic.equality.sub_right_side_into
6	instantiation	8, 9, 10	⊢
	: , : , :
7	instantiation	11, 24, 12	⊢
	: , :
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	13, 43, 53, 14, 15, 16, 24, 17, 19	⊢
	: , : , : , : , : , :
10	instantiation	18, 24, 19, 20	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.commutation
12	instantiation	51, 29, 21	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.disassociation
14	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
15	instantiation	22	⊢
	: , :
16	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17	instantiation	23, 24	⊢
	:
18	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
19	instantiation	51, 29, 28	⊢
	: , : , :
20	instantiation	25	⊢
	:
21	instantiation	26, 27, 28	⊢
	: , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23	theorem		⊢
	proveit.numbers.negation.complex_closure
24	instantiation	51, 29, 31	⊢
	: , : , :
25	axiom		⊢
	proveit.logic.equality.equals_reflexivity
26	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
27	instantiation	30, 31	⊢
	:
28	instantiation	51, 33, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	theorem		⊢
	proveit.numbers.negation.real_closure
31	instantiation	51, 33, 34	⊢
	: , : , :
32	instantiation	51, 36, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	51, 36, 37	⊢
	: , : , :
35	instantiation	49, 41	⊢
	:
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	51, 38, 39	⊢
	: , : , :
38	instantiation	40, 41, 42	⊢
	: , :
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
41	instantiation	51, 52, 43	⊢
	: , : , :
42	instantiation	44, 45, 46	⊢
	: , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
44	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
45	instantiation	51, 47, 48	⊢
	: , : , :
46	instantiation	49, 50	⊢
	:
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
48	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
49	theorem		⊢
	proveit.numbers.negation.int_closure
50	instantiation	51, 52, 53	⊢
	: , : , :
51	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat2