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.association
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	27	⊢
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	11	⊢
	: , :
7	instantiation	33, 25, 12	⊢
	: , : , :
8	instantiation	33, 25, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
10	instantiation	14, 15, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	33, 29, 17	⊢
	: , : , :
13	instantiation	33, 29, 18	⊢
	: , : , :
14	axiom		⊢
	proveit.logic.equality.equals_transitivity
15	instantiation	19, 20	⊢
	: , : , :
16	instantiation	21, 22	⊢
	:
17	instantiation	33, 31, 23	⊢
	: , : , :
18	instantiation	33, 31, 24	⊢
	: , : , :
19	axiom		⊢
	proveit.logic.equality.substitution
20	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
21	theorem		⊢
	proveit.numbers.addition.elim_zero_right
22	instantiation	33, 25, 26	⊢
	: , : , :
23	instantiation	33, 34, 27	⊢
	: , : , :
24	instantiation	33, 34, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	33, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	33, 31, 32	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	33, 34, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
^*equality replacement requirements