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, 5^*	⊢
	: , :
1	theorem		⊢
	proveit.numbers.rounding.floor_increasing_less_eq
2	reference	15	⊢
3	instantiation	6, 25, 8	⊢
	: , :
4	instantiation	7, 25, 15, 8, 9, 10, 11^*	⊢
	: , : , :
5	instantiation	12, 13	⊢
	:
6	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
7	theorem		⊢
	proveit.numbers.multiplication.weak_bound_via_right_factor_bound
8	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
9	instantiation	14, 15, 16, 17	⊢
	: , : , :
10	instantiation	18, 19	⊢
	: , :
11	instantiation	20, 21	⊢
	:
12	theorem		⊢
	proveit.numbers.rounding.floor_of_integer
13	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
16	instantiation	33, 27, 22	⊢
	: , : , :
17	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
18	theorem		⊢
	proveit.numbers.ordering.relax_less
19	instantiation	23, 35	⊢
	:
20	theorem		⊢
	proveit.numbers.multiplication.mult_zero_right
21	instantiation	33, 24, 25	⊢
	: , : , :
22	instantiation	33, 31, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	33, 27, 28	⊢
	: , : , :
26	instantiation	33, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	33, 31, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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
^*equality replacement requirements