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	theorem		⊢
	proveit.logic.equality.sub_left_side_into
2	instantiation	4, 5	⊢
	: , :
3	instantiation	6, 7, 8	⊢
	: , :
4	theorem		⊢
	proveit.numbers.ordering.relax_less
5	instantiation	9, 25, 26, 10	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.commutation
7	instantiation	39, 12, 11	⊢
	: , : , :
8	instantiation	39, 12, 19	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
10	instantiation	13, 19	⊢
	:
11	instantiation	14, 15	⊢
	:
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
13	theorem		⊢
	proveit.numbers.rounding.real_minus_floor_interval
14	theorem		⊢
	proveit.numbers.negation.real_closure
15	instantiation	39, 29, 16	⊢
	: , : , :
16	instantiation	39, 34, 17	⊢
	: , : , :
17	instantiation	18, 19	⊢
	:
18	axiom		⊢
	proveit.numbers.rounding.floor_is_an_int
19	instantiation	20, 21, 22	⊢
	: , :
20	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
21	instantiation	39, 29, 23	⊢
	: , : , :
22	instantiation	24, 25, 26, 27	⊢
	: , : , :
23	instantiation	39, 34, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
26	instantiation	39, 29, 30	⊢
	: , : , :
27	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
28	instantiation	31, 32, 33	⊢
	: , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	39, 34, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
32	instantiation	39, 40, 36	⊢
	: , : , :
33	instantiation	39, 37, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	39, 40, 41	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
37	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
38	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1