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