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, 31, 5, 6, 7, 8, 11, 9	⊢
	: , : , : , : , : , : , : , :
3	instantiation	10, 11, 12	⊢
	: , :
4	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	32, 15, 13	⊢
	: , : , :
8	instantiation	32, 15, 14	⊢
	: , : , :
9	instantiation	17	⊢
	:
10	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_reverse
11	instantiation	32, 15, 16	⊢
	: , : , :
12	instantiation	17	⊢
	:
13	instantiation	32, 19, 18	⊢
	: , : , :
14	instantiation	32, 19, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	21, 22, 34	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.equality.equals_reflexivity
18	instantiation	32, 24, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
20	instantiation	32, 24, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
22	instantiation	26, 27	⊢
	: , :
23	instantiation	28, 29	⊢
	:
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	32, 30, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
28	theorem		⊢
	proveit.numbers.negation.int_closure
29	instantiation	32, 33, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
34	assumption		⊢