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Theorems · Theorem · number theory

Nat.mod_modEq

∀ (a n : ℕ), a % n ≡ a [MOD n]
Defined in
Mathlib.Data.Nat.ModEq
Cited by
4 results in Mathlib
Foundations
Depth 29 from the axioms · uses propext
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Around this declaration

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

IsPrimitiveRoot.autToPow_spec · cited by 5IsPrimitiveRoot.autToPow_…Nat.ofDigits_modEq · cited by 2Nat.ofDigits_modEqNat.add_mod_add_ite · cited by 2Nat.add_mod_add_iteCharP.natCast_eq_natCast_mod · cited by 0CharP.natCast_eq_natCast_…Nat.ModEq · cited by 225Nat.ModEqNat.mod_modEqCITED BYCITES

Cites1

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

Cited by4

Results whose statement or proof uses this declaration.