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Theorems · Theorem · number theory

Nat.modEq_one

∀ {a b : ℕ}, a ≡ b [MOD 1]
Defined in
Mathlib.Data.Nat.ModEq
Cited by
2 results in Mathlib
Foundations
Depth 44 from the axioms · uses propext
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Nat.exists_prime_gt_modEq_one · cited by 1Nat.exists_prime_gt_modEq…pow_pow_modEq_one · cited by 1pow_pow_modEq_oneNat.ModEq · cited by 225Nat.ModEqone_dvd · cited by 37one_dvdNat.modEq_of_dvd · cited by 5Nat.modEq_of_dvdNat.modEq_oneCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.