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	modus ponens	1, 2	⊢
1	instantiation	3	⊢
	: , : , :
2	generalization	4	⊢
3	theorem		⊢
	proveit.numbers.summation.summation_real_closure
4	instantiation	5, 6, 35	, ⊢
	: , :
5	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
6	instantiation	33, 7, 8	, ⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
8	instantiation	9, 10	, ⊢
	:
9	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
10	instantiation	11, 12	, ⊢
	:
11	theorem		⊢
	proveit.physics.quantum.QPE._alpha_are_complex
12	instantiation	13, 14, 15	, ⊢
	: , :
13	theorem		⊢
	proveit.physics.quantum.QPE._mod_add_closure
14	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
15	instantiation	33, 16, 17	, ⊢
	: , : , :
16	instantiation	22, 18, 27	⊢
	: , :
17	assumption		⊢
18	instantiation	26, 19, 23	⊢
	: , :
19	instantiation	33, 20, 21	⊢
	: , : , :
20	instantiation	22, 23, 24	⊢
	: , :
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
23	instantiation	33, 34, 25	⊢
	: , : , :
24	instantiation	26, 27, 28	⊢
	: , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
26	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
27	instantiation	33, 29, 30	⊢
	: , : , :
28	instantiation	31, 32	⊢
	:
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
30	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
31	theorem		⊢
	proveit.numbers.negation.int_closure
32	instantiation	33, 34, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2