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, 6^*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
2	reference	23	⊢
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	instantiation	38, 26, 7	⊢
	: , : , :
5	instantiation	8, 9, 10	⊢
	: , : , :
6	instantiation	11, 12, 13	⊢
	: , : , :
7	instantiation	38, 31, 14	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
9	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
10	instantiation	15, 32, 25, 21	⊢
	: , : , :
11	theorem		⊢
	proveit.logic.equality.sub_right_side_into
12	instantiation	16, 18	⊢
	:
13	instantiation	17, 18, 19	⊢
	: , :
14	instantiation	38, 20, 21	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
16	theorem		⊢
	proveit.numbers.addition.elim_zero_right
17	theorem		⊢
	proveit.numbers.addition.commutation
18	instantiation	38, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
20	instantiation	24, 32, 25	⊢
	: , :
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
23	instantiation	38, 26, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
25	instantiation	28, 29, 30	⊢
	: , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	38, 31, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
29	instantiation	38, 33, 34	⊢
	: , : , :
30	instantiation	35, 36	⊢
	:
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	38, 39, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
34	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
35	theorem		⊢
	proveit.numbers.negation.int_closure
36	instantiation	38, 39, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements