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^, 4^	⊢
	:
1	theorem		⊢
	proveit.physics.quantum.QPE._outcome_prob
2	reference	6	⊢
3	modus ponens	5, 6	⊢
4	instantiation	7, 8, 9	⊢
	: , : , :
5	theorem		⊢
	proveit.physics.quantum.QPE._alpha_ideal_case
6	assumption		⊢
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	10, 11	⊢
	: , : , :
9	instantiation	12, 13	⊢
	:
10	axiom		⊢
	proveit.logic.equality.substitution
11	instantiation	14, 15	⊢
	:
12	theorem		⊢
	proveit.numbers.exponentiation.exponentiated_one
13	instantiation	24, 16, 17	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
15	instantiation	18, 19	⊢
	:
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	24, 20, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	24, 22, 23	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	24, 25, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements