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, 17	⊢
	: , :
3	instantiation	7, 36, 8, 9, 10	⊢
	: , : , : , :
4	instantiation	11, 12, 13, 14, 15, 16, 17, 18^*	⊢
	: , : , : , : , : , :
5	theorem		⊢
	proveit.numbers.exponentiation.exp_nat_pos_expansion
6	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
7	theorem		⊢
	proveit.core_expr_types.operations.operands_substitution_via_tuple
8	instantiation	19, 36	⊢
	: , :
9	instantiation	20	⊢
	: , : , :
10	instantiation	21	⊢
	:
11	theorem		⊢
	proveit.numbers.multiplication.association
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	instantiation	22	⊢
	: , :
17	instantiation	34, 23, 24	⊢
	: , : , :
18	instantiation	25, 26, 27	⊢
	: , : , :
19	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
21	theorem		⊢
	proveit.numbers.numerals.decimals.reduce_3_repeats
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	34, 28, 29	⊢
	: , : , :
25	axiom		⊢
	proveit.logic.equality.equals_transitivity
26	instantiation	30, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.mult_9_3
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	34, 32, 33	⊢
	: , : , :
30	axiom		⊢
	proveit.logic.equality.substitution
31	theorem		⊢
	proveit.numbers.numerals.decimals.mult_3_3
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	34, 35, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
^*equality replacement requirements