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	31	⊢
4	reference	22	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	11	⊢
	: , :
7	reference	21	⊢
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
9	instantiation	29, 23, 12	⊢
	: , : , :
10	instantiation	13, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	29, 25, 16	⊢
	: , : , :
13	axiom		⊢
	proveit.logic.equality.equals_transitivity
14	instantiation	17, 18	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
16	instantiation	29, 27, 19	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.equality.substitution
18	instantiation	20, 21	⊢
	:
19	instantiation	29, 30, 22	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.elim_zero_right
21	instantiation	29, 23, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	29, 25, 26	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	29, 27, 28	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	29, 30, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements