Standard Library | The Coq Proof Assistant

The Coq Proof Assistant

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Constructor Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (1030 entries)
Axiom Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (625 entries)
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Section Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (493 entries)
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Definition Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (4242 entries)
Record Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (165 entries)

## T (lemma)

tail00_spec [in Coq.Numbers.Cyclic.Int63.Uint63]
tail031_equiv [in Coq.Numbers.Cyclic.Int31.Cyclic31]
take_prf_irr [in Coq.Vectors.VectorSpec]
take_app [in Coq.Vectors.VectorSpec]
take_idem [in Coq.Vectors.VectorSpec]
take_O [in Coq.Vectors.VectorSpec]
tan_pi_plus [in Coq.Reals.Rtrigo_facts]
tan_pi_minus [in Coq.Reals.Rtrigo_facts]
tan_cos_opp [in Coq.Reals.Rtrigo_facts]
tan_cos [in Coq.Reals.Rtrigo_facts]
tan_sin_opp [in Coq.Reals.Rtrigo_facts]
tan_sin [in Coq.Reals.Rtrigo_facts]
tan_incr_1 [in Coq.Reals.Rtrigo1]
tan_incr_0 [in Coq.Reals.Rtrigo1]
tan_increasing_1 [in Coq.Reals.Rtrigo1]
tan_increasing_0 [in Coq.Reals.Rtrigo1]
tan_diff [in Coq.Reals.Rtrigo1]
tan_lt_0 [in Coq.Reals.Rtrigo1]
tan_gt_0 [in Coq.Reals.Rtrigo1]
tan_minus [in Coq.Reals.Rtrigo1]
tan_neg [in Coq.Reals.Rtrigo1]
tan_0 [in Coq.Reals.Rtrigo1]
tan_2a [in Coq.Reals.Rtrigo1]
tan_plus [in Coq.Reals.Rtrigo1]
tan_acos [in Coq.Reals.Ratan]
tan_asin [in Coq.Reals.Ratan]
tan_atan [in Coq.Reals.Ratan]
tan_1_gt_1 [in Coq.Reals.Ratan]
tan_inj [in Coq.Reals.Ratan]
tan_increasing [in Coq.Reals.Ratan]
tan_2PI3 [in Coq.Reals.Rtrigo_calc]
tan_PI3 [in Coq.Reals.Rtrigo_calc]
tan_PI6 [in Coq.Reals.Rtrigo_calc]
tan_PI4 [in Coq.Reals.Rtrigo_calc]
tan_2PI [in Coq.Reals.Rtrigo_calc]
tan_PI [in Coq.Reals.Rtrigo_calc]
tauto_checker_sound [in Coq.micromega.Tauto]
tearing_sequences_ordered_forall [in Coq.Reals.Runcountable]
tearing_sequences_inc_dec [in Coq.Reals.Runcountable]
tearing_sequences_projsig [in Coq.Reals.Runcountable]
tech [in Coq.Reals.Machin]
tech_up [in Coq.Reals.R_Ifp]
tech_pow_Rplus [in Coq.Reals.Rfunctions]
tech_pow_Rmult [in Coq.Reals.Rfunctions]
tech_limit_contr [in Coq.Reals.Rlimit]
tech_limit [in Coq.Reals.Rlimit]
tech_opp_tan [in Coq.Reals.Ratan]
tech_single_z_r_R1 [in Coq.Reals.RIneq]
tech_Rgt_minus [in Coq.Reals.RIneq]
tech_Rplus [in Coq.Reals.RIneq]
tech1 [in Coq.Reals.PartSum]
tech11 [in Coq.Reals.PartSum]
tech12 [in Coq.Reals.PartSum]
tech13 [in Coq.Reals.SeqProp]
tech2 [in Coq.Reals.PartSum]
tech3 [in Coq.Reals.PartSum]
tech4 [in Coq.Reals.PartSum]
tech5 [in Coq.Reals.PartSum]
tech6 [in Coq.Reals.PartSum]
tech7 [in Coq.Reals.PartSum]
tech8 [in Coq.Reals.ArithProp]
tech9 [in Coq.Reals.SeqProp]
Tget_Tmap [in Coq.rtauto.Bintree]
Tget_Tadd [in Coq.rtauto.Bintree]
Tget_Tempty [in Coq.rtauto.Bintree]
tl_nth_tl [in Coq.Lists.Streams]
Tmap_Tadd [in Coq.rtauto.Bintree]
TOMaxEqDec_to_Compare.compare_spec [in Coq.Structures.GenericMinMax]
topredE [in Coq.ssr.ssrbool]
toRad_inj [in Coq.Reals.Rtrigo_calc]
torn_number_below_second_sequence [in Coq.Reals.Runcountable]
torn_number_above_first_sequence [in Coq.Reals.Runcountable]
total_order_T [in Coq.Reals.Rdefinitions]
to_list_Forall2 [in Coq.Vectors.VectorSpec]
to_list_In [in Coq.Vectors.VectorSpec]
to_list_Exists [in Coq.Vectors.VectorSpec]
to_list_Forall [in Coq.Vectors.VectorSpec]
to_list_fold_right [in Coq.Vectors.VectorSpec]
to_list_fold_left [in Coq.Vectors.VectorSpec]
to_list_map [in Coq.Vectors.VectorSpec]
to_list_rev [in Coq.Vectors.VectorSpec]
to_list_rev_append [in Coq.Vectors.VectorSpec]
to_list_rev_append_tail [in Coq.Vectors.VectorSpec]
to_list_append [in Coq.Vectors.VectorSpec]
to_list_tl [in Coq.Vectors.VectorSpec]
to_list_nth_order [in Coq.Vectors.VectorSpec]
to_list_const [in Coq.Vectors.VectorSpec]
to_list_last [in Coq.Vectors.VectorSpec]
to_list_hd [in Coq.Vectors.VectorSpec]
to_list_cons [in Coq.Vectors.VectorSpec]
to_list_nil [in Coq.Vectors.VectorSpec]
to_list_of_list_opp [in Coq.Vectors.VectorSpec]
to_bits_of_bits [in Coq.Init.Byte]
to_list_inj [in Coq.Numbers.DecimalFacts]
to_list_of_list [in Coq.Numbers.DecimalFacts]
to_pos_of_pos [in Coq.Strings.OctalString]
to_nat_of_nat [in Coq.Strings.OctalString]
to_Z_of_Z [in Coq.Strings.OctalString]
to_N_of_N [in Coq.Strings.OctalString]
to_pos_of_pos [in Coq.Strings.HexString]
to_nat_of_nat [in Coq.Strings.HexString]
to_Z_of_Z [in Coq.Strings.HexString]
to_N_of_N [in Coq.Strings.HexString]
to_decimal_surj [in Coq.Numbers.DecimalQ]
to_decimal_inj [in Coq.Numbers.DecimalQ]
to_of [in Coq.Numbers.DecimalQ]
to_nat_non_decreasing [in Coq.Arith.Cantor]
to_nat_spec2 [in Coq.Arith.Cantor]
to_nat_spec [in Coq.Arith.Cantor]
to_nat_inj [in Coq.Arith.Cantor]
to_int_surj [in Coq.Numbers.DecimalZ]
to_int_inj [in Coq.Numbers.DecimalZ]
to_of [in Coq.Numbers.DecimalZ]
to_list_inj [in Coq.Numbers.HexadecimalFacts]
to_list_of_list [in Coq.Numbers.HexadecimalFacts]
to_pos_of_pos [in Coq.Strings.BinaryString]
to_nat_of_nat [in Coq.Strings.BinaryString]
to_N_of_N [in Coq.Strings.BinaryString]
to_int_surj [in Coq.Numbers.HexadecimalZ]
to_int_inj [in Coq.Numbers.HexadecimalZ]
to_of [in Coq.Numbers.HexadecimalZ]
to_nat_inj [in Coq.Vectors.Fin]
to_nat_of_nat [in Coq.Vectors.Fin]
to_Z_bounded [in Coq.micromega.ZifySint63]
to_hexadecimal_surj [in Coq.Numbers.HexadecimalR]
to_hexadecimal_inj [in Coq.Numbers.HexadecimalR]
to_of [in Coq.Numbers.HexadecimalR]
to_nat_via_N [in Coq.Strings.Byte]
to_N_via_nat [in Coq.Strings.Byte]
to_N_bounded [in Coq.Strings.Byte]
to_of_N_option_map [in Coq.Strings.Byte]
to_of_N_iff [in Coq.Strings.Byte]
to_of_N [in Coq.Strings.Byte]
to_nat_bounded [in Coq.Strings.Byte]
to_of_nat_option_map [in Coq.Strings.Byte]
to_of_nat_iff [in Coq.Strings.Byte]
to_of_nat [in Coq.Strings.Byte]
to_Z_bounded [in Coq.micromega.ZifyUint63]
to_hexadecimal_surj [in Coq.Numbers.HexadecimalQ]
to_hexadecimal_inj [in Coq.Numbers.HexadecimalQ]
to_of [in Coq.Numbers.HexadecimalQ]
to_decimal_surj [in Coq.Numbers.DecimalR]
to_decimal_inj [in Coq.Numbers.DecimalR]
to_of [in Coq.Numbers.DecimalR]
to_Z_split [in Coq.Numbers.Cyclic.Int63.Uint63]
to_Z_gcd [in Coq.Numbers.Cyclic.Int63.Uint63]
to_Z_inj [in Coq.Numbers.Cyclic.Int63.Uint63]
to_Z_1 [in Coq.Numbers.Cyclic.Int63.Uint63]
to_Z_0 [in Coq.Numbers.Cyclic.Int63.Uint63]
to_Z_bounded [in Coq.Numbers.Cyclic.Int63.Uint63]
to_Z_rec_bounded [in Coq.Numbers.Cyclic.Int63.Uint63]
to_Z_abs [in Coq.Numbers.Cyclic.Int63.Sint63]
to_Z_opp [in Coq.Numbers.Cyclic.Int63.Sint63]
to_Z_pred [in Coq.Numbers.Cyclic.Int63.Sint63]
to_Z_succ [in Coq.Numbers.Cyclic.Int63.Sint63]
to_Z_mul [in Coq.Numbers.Cyclic.Int63.Sint63]
to_Z_sub [in Coq.Numbers.Cyclic.Int63.Sint63]
to_Z_add [in Coq.Numbers.Cyclic.Int63.Sint63]
to_Z_cmodwB [in Coq.Numbers.Cyclic.Int63.Sint63]
to_Z_mod_Uint63to_Z [in Coq.Numbers.Cyclic.Int63.Sint63]
to_Z_inj [in Coq.Numbers.Cyclic.Int63.Sint63]
to_Z_bounded [in Coq.Numbers.Cyclic.Int63.Sint63]
to_Z_max [in Coq.Numbers.Cyclic.Int63.Sint63]
to_Z_min [in Coq.Numbers.Cyclic.Int63.Sint63]
to_Z_0 [in Coq.Numbers.Cyclic.Int63.Sint63]
translation_0 [in Coq.Reals.Rgeom]
trans_EqSt [in Coq.Lists.Streams]
trans_sym_eq [in Coq.Logic.Eqdep_dec]
trans_eq_bool [in Coq.Bool.Bool]
treesort [in Coq.Sorting.Heap]
treesort_twist2 [in Coq.Sets.Uniset]
treesort_twist1 [in Coq.Sets.Uniset]
treesort_twist2 [in Coq.Sets.Multiset]
treesort_twist1 [in Coq.Sets.Multiset]
triangle [in Coq.Reals.Rgeom]
triangle_rectangle_le [in Coq.Reals.R_sqr]
triangle_rectangle_lt [in Coq.Reals.R_sqr]
triangle_rectangle [in Coq.Reals.R_sqr]
Triple_as_Couple_Singleton [in Coq.Sets.Powerset_facts]
Triple_as_Couple [in Coq.Sets.Powerset_facts]
Triple_as_union [in Coq.Sets.Powerset_facts]
triv_div_th [in Coq.setoid_ring.InitialRing]
triv_nat [in Coq.Sets.Integers]
true_hprop [in Coq.Logic.HLevels]
trunc [in Coq.Vectors.VectorDef]
TTLB_to_OTF.eqb_eq [in Coq.Structures.Orders]
TTLB_to_OTF.compare_spec [in Coq.Structures.Orders]
twice_or_twice_plus_one [in Coq.Numbers.Cyclic.Int31.Cyclic31]
twice_zero [in Coq.Numbers.Cyclic.Int31.Cyclic31]
twist [in Coq.Sets.Permut]
two_p_power2 [in Coq.Numbers.Cyclic.ZModulo.ZModulo]
two_compl_to_Z_to_two_compl [in Coq.ZArith.Zdigits]
two_compl_value_Sn [in Coq.ZArith.Zdigits]
two_compl_value [in Coq.ZArith.Zdigits]
two_p_pred [in Coq.ZArith.Zpower]
two_p_S [in Coq.ZArith.Zpower]
two_p_gt_ZERO [in Coq.ZArith.Zpower]
two_p_is_exp [in Coq.ZArith.Zpower]
two_p_correct [in Coq.ZArith.Zpower]
two_power_pos_is_exp [in Coq.ZArith.Zpower]
two_power_pos_correct [in Coq.ZArith.Zpower]
two_power_pos_nat [in Coq.ZArith.Zpower]
two_power_nat_correct [in Coq.ZArith.Zpower]
two_power_nat_S [in Coq.ZArith.Zpower]
two_p_equiv [in Coq.ZArith.Zpower]
two_power_pos_equiv [in Coq.ZArith.Zpower]
two_power_nat_equiv [in Coq.ZArith.Zpower]
TypeNeqSmallType.paradox [in Coq.Logic.Hurkens]
TypeNeqSmallType.up_down [in Coq.Logic.Hurkens]

Global Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (72679 entries)
Notation Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (1040 entries)
Binder Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (47172 entries)
Module Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (791 entries)
Variable Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (1553 entries)
Library Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (585 entries)
Lemma Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (11862 entries)
Constructor Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (1030 entries)
Axiom Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (625 entries)
Inductive Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (308 entries)
Projection Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (474 entries)
Section Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (493 entries)
Instance Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (896 entries)
Abbreviation Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (1443 entries)
Definition Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (4242 entries)
Record Index | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | _ | other | (165 entries)