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Theorem Dependencies

proveit.numbers.summation.finite_geom_sum

see proof

In [1]:
import proveit
# Automation is not needed when querying dependencies:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
from proveit.numbers.summation import finite_geom_sum
In [2]:
%dependencies finite_geom_sum

Unproven conjectures required (directly or indirectly) to prove finite_geom_sum

proveit.core_expr_types.tuples.tuple_len_0_typical_eq
proveit.logic.equality.four_chain_transitivity
proveit.numbers.addition.add_complex_closure_bin
proveit.numbers.addition.add_int_closure_bin
proveit.numbers.addition.add_nat_pos_from_nonneg
proveit.numbers.addition.association
proveit.numbers.addition.commutation
proveit.numbers.addition.disassociation
proveit.numbers.addition.elim_zero_left
proveit.numbers.addition.leftward_commutation
proveit.numbers.addition.subtraction.add_cancel_general_rev
proveit.numbers.addition.subtraction.add_cancel_triple_23
proveit.numbers.addition.subtraction.nonzero_difference_if_different
proveit.numbers.division.div_complex_closure
proveit.numbers.division.frac_cancel_complete
proveit.numbers.division.frac_cancel_left
proveit.numbers.division.frac_one_denom
proveit.numbers.division.mult_frac_left
proveit.numbers.exponentiation.complex_x_to_first_power_is_x
proveit.numbers.exponentiation.exp_complex_closure
proveit.numbers.exponentiation.exp_zero_eq_one
proveit.numbers.exponentiation.product_of_posnat_powers
proveit.numbers.multiplication.distribute_through_subtract
proveit.numbers.multiplication.distribute_through_sum
proveit.numbers.multiplication.elim_one_left
proveit.numbers.multiplication.elim_one_right
proveit.numbers.negation.complex_closure
proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
proveit.numbers.number_sets.complex_numbers.real_within_complex
proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
proveit.numbers.number_sets.integers.nat_within_int
proveit.numbers.number_sets.natural_numbers.fold_forall_natural
proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
proveit.numbers.number_sets.rational_numbers.int_within_rational
proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
proveit.numbers.number_sets.real_numbers.nat_within_real
proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
proveit.numbers.number_sets.real_numbers.rational_within_real
proveit.numbers.numerals.decimals.add_1_1
proveit.numbers.numerals.decimals.less_0_1
proveit.numbers.numerals.decimals.posnat1
proveit.numbers.numerals.decimals.tuple_len_2_typical_eq

Axioms required (directly or indirectly) to prove finite_geom_sum

proveit.core_expr_types.operations.operands_substitution
proveit.logic.booleans.conjunction.and_t_t
proveit.logic.booleans.eq_true_elim
proveit.logic.booleans.eq_true_intro
proveit.logic.booleans.true_axiom
proveit.logic.equality.equals_reflexivity
proveit.logic.equality.equals_symmetry
proveit.logic.equality.equals_transitivity
proveit.logic.equality.not_equals_def
proveit.logic.equality.substitution
proveit.logic.sets.inclusion.proper_subset_def
proveit.logic.sets.inclusion.subset_eq_def
proveit.numbers.number_sets.natural_numbers.successor_in_nats
proveit.numbers.number_sets.natural_numbers.zero_in_nats
proveit.numbers.numerals.decimals.one_def
proveit.numbers.summation.sum_single
proveit.numbers.summation.sum_split_last

No theorems/conjectures depend upon finite_geom_sum