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	5, 25	⊢
	:
3	instantiation	33	⊢
	:
4	instantiation	6, 7	, , , , ⊢
	: , :
5	theorem		⊢
	proveit.numbers.addition.elim_zero_left
6	theorem		⊢
	proveit.logic.equality.equals_reversal
7	instantiation	8, 9, 10, 11, 12, 13, 25, 14, 30, 15^*	, , , , ⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.numbers.addition.association
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	instantiation	16	⊢
	: , :
13	instantiation	16	⊢
	: , :
14	instantiation	44, 37, 17	⊢
	: , : , :
15	instantiation	18, 19, 20	, , , , ⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	instantiation	44, 42, 21	⊢
	: , : , :
18	axiom		⊢
	proveit.logic.equality.equals_transitivity
19	instantiation	22, 23	, , , , ⊢
	: , : , :
20	instantiation	24, 30, 25, 26	, ⊢
	: , : , :
21	assumption		⊢
22	axiom		⊢
	proveit.logic.equality.substitution
23	instantiation	27, 28, 29, 30, 31	, , ⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_21
25	instantiation	44, 37, 32	⊢
	: , : , :
26	instantiation	33	⊢
	:
27	theorem		⊢
	proveit.numbers.addition.subtraction.negated_add
28	instantiation	44, 34, 35	⊢
	: , : , :
29	instantiation	44, 37, 36	⊢
	: , : , :
30	instantiation	44, 37, 38	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
32	instantiation	44, 42, 39	⊢
	: , : , :
33	axiom		⊢
	proveit.logic.equality.equals_reflexivity
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.complex_nonzero_within_complex
35	instantiation	44, 40, 41	⊢
	: , : , :
36	instantiation	44, 42, 43	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	assumption		⊢
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
41	instantiation	44, 45, 46	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
43	assumption		⊢
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real_nonzero
46	assumption		⊢
^*equality replacement requirements