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	⊢
	: , : , :
1	reference	27	⊢
2	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
3	instantiation	27, 17, 4	⊢
	: , : , :
4	instantiation	27, 22, 5	⊢
	: , : , :
5	instantiation	6, 7	⊢
	:
6	axiom		⊢
	proveit.numbers.rounding.floor_is_an_int
7	instantiation	8, 9, 10	⊢
	: , :
8	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
9	instantiation	27, 17, 11	⊢
	: , : , :
10	instantiation	12, 13, 14, 15	⊢
	: , : , :
11	instantiation	27, 22, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
14	instantiation	27, 17, 18	⊢
	: , : , :
15	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
16	instantiation	19, 20, 21	⊢
	: , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	27, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
20	instantiation	27, 28, 24	⊢
	: , : , :
21	instantiation	27, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	27, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
26	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1