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_right_side_into
2	instantiation	12, 4, 16	⊢
	: , :
3	instantiation	5, 6, 41, 38, 7, 8, 9, 10, 11	⊢
	: , : , : , : , : , :
4	instantiation	12, 28, 14	⊢
	: , :
5	theorem		⊢
	proveit.numbers.multiplication.disassociation
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	13	⊢
	: , :
9	instantiation	39, 15, 28	⊢
	: , : , :
10	instantiation	39, 15, 14	⊢
	: , : , :
11	instantiation	39, 15, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14	instantiation	39, 17, 18	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	19, 20, 23, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
20	instantiation	22, 23	⊢
	:
21	instantiation	24, 25	⊢
	:
22	theorem		⊢
	proveit.numbers.negation.real_closure
23	instantiation	26, 27, 28, 29	⊢
	: , :
24	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.division.div_real_closure
27	instantiation	39, 31, 30	⊢
	: , : , :
28	instantiation	39, 31, 32	⊢
	: , : , :
29	instantiation	33, 34	⊢
	:
30	instantiation	39, 36, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	39, 36, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
35	instantiation	39, 40, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	39, 40, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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.nat2