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, 5, 6, 7, 8, 9, 10^*	⊢
	: , : , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	29	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	11	⊢
	: , :
6	instantiation	27, 18, 12	⊢
	: , : , :
7	reference	15	⊢
8	instantiation	13, 15	⊢
	:
9	instantiation	20	⊢
	:
10	instantiation	14, 15, 16	⊢
	: , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	27, 22, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.negation.complex_closure
14	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
15	instantiation	27, 18, 19	⊢
	: , : , :
16	instantiation	20	⊢
	:
17	instantiation	27, 25, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	27, 22, 23	⊢
	: , : , :
20	axiom		⊢
	proveit.logic.equality.equals_reflexivity
21	instantiation	27, 28, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	27, 25, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	instantiation	27, 28, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements