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	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	6, 18, 47, 17, 19, 7, 20, 21, 5	⊢
	: , : , : , : , : , :
3	instantiation	6, 47, 18, 7, 8, 19, 20, 21, 24, 9	⊢
	: , : , : , : , : , :
4	instantiation	10, 11, 12	⊢
	: , : , :
5	instantiation	48, 29, 13	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.disassociation
7	instantiation	14	⊢
	: , :
8	instantiation	14	⊢
	: , :
9	instantiation	15, 21	⊢
	:
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	16, 17, 18, 19, 20, 21, 24, 22	⊢
	: , : , : , : , : , : , : , :
12	instantiation	23, 24, 25	⊢
	: , :
13	instantiation	26, 30, 27	⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	theorem		⊢
	proveit.numbers.negation.complex_closure
16	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
18	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
19	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
20	instantiation	48, 29, 28	⊢
	: , : , :
21	instantiation	48, 29, 33	⊢
	: , : , :
22	instantiation	31	⊢
	:
23	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_reverse
24	instantiation	48, 29, 30	⊢
	: , : , :
25	instantiation	31	⊢
	:
26	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
27	instantiation	32, 33	⊢
	:
28	instantiation	48, 37, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	35, 36, 50	⊢
	: , : , :
31	axiom		⊢
	proveit.logic.equality.equals_reflexivity
32	theorem		⊢
	proveit.numbers.negation.real_closure
33	instantiation	48, 37, 38	⊢
	: , : , :
34	instantiation	48, 42, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
36	instantiation	40, 41	⊢
	: , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	48, 42, 43	⊢
	: , : , :
39	instantiation	44, 45	⊢
	:
40	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	48, 46, 47	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.negation.int_closure
45	instantiation	48, 49, 50	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
50	assumption		⊢