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, 7, 8, 9, 16, 12, 10	⊢
	: , : , : , : , : , :
3	instantiation	11, 16, 12, 13	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
8	instantiation	14	⊢
	: , :
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	instantiation	15, 16	⊢
	:
11	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
12	instantiation	33, 24, 17	⊢
	: , : , :
13	instantiation	18	⊢
	:
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	theorem		⊢
	proveit.numbers.negation.complex_closure
16	instantiation	19, 20, 21, 22	⊢
	: , :
17	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
18	axiom		⊢
	proveit.logic.equality.equals_reflexivity
19	theorem		⊢
	proveit.numbers.division.div_complex_closure
20	instantiation	33, 24, 23	⊢
	: , : , :
21	instantiation	33, 24, 25	⊢
	: , : , :
22	instantiation	26, 35	⊢
	:
23	instantiation	33, 28, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	33, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
27	instantiation	33, 31, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	33, 31, 32	⊢
	: , : , :
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	33, 34, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
35	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos