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	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	6, 7, 15, 8, 9, 10, 11	⊢
	: , : , : , : , : , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	12, 23	⊢
	:
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_portion_substitution
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
8	instantiation	13	⊢
	: , :
9	instantiation	14, 15	⊢
	: , :
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	instantiation	16, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.elim_zero_left
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	axiom		⊢
	proveit.core_expr_types.tuples.empty_range_def
17	instantiation	18, 19, 20	⊢
	: , : , :
18	theorem		⊢
	proveit.logic.equality.sub_right_side_into
19	instantiation	21, 23	⊢
	:
20	instantiation	22, 23, 24	⊢
	: , :
21	theorem		⊢
	proveit.numbers.addition.elim_zero_right
22	theorem		⊢
	proveit.numbers.addition.commutation
23	instantiation	31, 25, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	31, 27, 28	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	31, 29, 30	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	31, 32, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1