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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5, 6, 32, 7, 8, 11, 15, 9	⊢
	: , : , : , : , : , :
3	instantiation	10, 15, 11, 12	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	13	⊢
	: , :
9	instantiation	14, 15	⊢
	:
10	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
11	instantiation	34, 18, 16	⊢
	: , : , :
12	instantiation	17	⊢
	:
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14	theorem		⊢
	proveit.numbers.negation.complex_closure
15	instantiation	34, 18, 19	⊢
	: , : , :
16	instantiation	20, 21, 22, 23	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.equality.equals_reflexivity
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	34, 26, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oo__is__real
21	instantiation	34, 26, 25	⊢
	: , : , :
22	instantiation	34, 26, 27	⊢
	: , : , :
23	assumption		⊢
24	instantiation	34, 30, 28	⊢
	: , : , :
25	instantiation	34, 30, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	34, 30, 31	⊢
	: , : , :
28	instantiation	34, 35, 32	⊢
	: , : , :
29	instantiation	34, 35, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	34, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat4