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	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	5, 6, 37, 7, 8, 16, 14, 21	⊢
	: , : , : , : , : , :
3	instantiation	9, 10, 11, 12, 13, 16, 14, 21	⊢
	: , : , : , :
4	instantiation	15, 21, 16, 17	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.addition.disassociation
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
7	instantiation	18	⊢
	: , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
9	theorem		⊢
	proveit.numbers.addition.elim_zero_any
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	19	⊢
	: , : , :
14	instantiation	20, 21	⊢
	:
15	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
16	instantiation	35, 24, 22	⊢
	: , : , :
17	instantiation	23	⊢
	:
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
20	theorem		⊢
	proveit.numbers.negation.complex_closure
21	instantiation	35, 24, 25	⊢
	: , : , :
22	instantiation	26, 27, 28	⊢
	: , : , :
23	axiom		⊢
	proveit.logic.equality.equals_reflexivity
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	35, 29, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
27	instantiation	31, 32	⊢
	: , :
28	assumption		⊢
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	35, 33, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	35, 36, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2