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, 4, 5^*	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.substitution
4	instantiation	6, 36	⊢
	:
5	instantiation	7, 8, 9	⊢
	: , : , :
6	axiom		⊢
	proveit.physics.quantum.QPE._delta_b_def
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	10, 11, 12, 13, 14, 15, 22, 18, 16	⊢
	: , : , : , : , : , :
9	instantiation	17, 22, 18, 19	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.disassociation
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	instantiation	20	⊢
	: , :
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	instantiation	21, 22	⊢
	:
17	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
18	instantiation	39, 30, 23	⊢
	: , : , :
19	instantiation	24	⊢
	:
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	theorem		⊢
	proveit.numbers.negation.complex_closure
22	instantiation	25, 26, 27, 28	⊢
	: , :
23	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
24	axiom		⊢
	proveit.logic.equality.equals_reflexivity
25	theorem		⊢
	proveit.numbers.division.div_complex_closure
26	instantiation	39, 30, 29	⊢
	: , : , :
27	instantiation	39, 30, 31	⊢
	: , : , :
28	instantiation	32, 41	⊢
	:
29	instantiation	39, 34, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	39, 34, 35	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
33	instantiation	39, 37, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	39, 37, 38	⊢
	: , : , :
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	39, 40, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
41	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
^*equality replacement requirements