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Theorems · Theorem · number theory

AddCommGroup.natCast_modEq_natCast

∀ {M : Type u_1} [inst : AddCommMonoidWithOne M] [CharZero M] {a b n : ℕ}, ↑a ≡ ↑b [PMOD ↑n] ↔ a ≡ b [MOD n]
Defined in
Mathlib.Data.Nat.ModEq
Cited by
1 results in Mathlib
Foundations
Depth 31 from the axioms · uses propext, Quot.sound
Assumes
AddCommMonoidWithOneCharZero
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Around this declaration

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Nat.ModEq.of_natCast · cited by 0ModEq.of_natCastCharZero · cited by 932CharZeroNat.ModEq · cited by 225Nat.ModEqAddCommGroup.ModEq · cited by 107AddCommGroup.ModEqAddCommMonoidWithOne · cited by 42AddCommMonoidWithOneNat.cast_injective · cited by 39Nat.cast_injectiveNat.castAddMonoidHom · cited by 16Nat.castAddMonoidHomAddCommGroup.map_modEq_iff · cited by 2AddCommGroup.map_modEq_iffAddCommGroup.natCast_modEq_na…CITED BYCITES

Cites7

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Cited by1

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