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.numbers.rounding.floor_of_real_below_int
2	instantiation	5, 20, 7	⊢
	: , :
3	reference	27	⊢
4	instantiation	6, 20, 7, 13, 8, 9, 10^*	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
6	theorem		⊢
	proveit.numbers.multiplication.strong_bound_via_right_factor_bound
7	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
8	instantiation	11, 12, 13, 14	⊢
	: , : , :
9	instantiation	15, 30	⊢
	:
10	instantiation	16, 17	⊢
	:
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
13	instantiation	28, 22, 18	⊢
	: , : , :
14	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
15	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
16	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
17	instantiation	28, 19, 20	⊢
	: , : , :
18	instantiation	28, 26, 21	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	28, 22, 23	⊢
	: , : , :
21	instantiation	28, 24, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	28, 26, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	28, 29, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
30	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
^*equality replacement requirements