Theorems · Theorem · number theory
pow_pow_modEq_one
∀ (p m a : ℕ), (1 + p * a) ^ p ^ m ≡ 1 [MOD p ^ m]
- Defined in
- Mathlib.FieldTheory.Finite.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.sumproof · cited by 5,195
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- Finset.sum_congrproof · cited by 2,323
- mul_assocproof · cited by 1,667
- add_commproof · cited by 1,535
- Finset.rangeproof · cited by 1,341
- pow_zeroproof · cited by 1,094
- pow_oneproof · cited by 894
- one_powproof · cited by 521
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.eq_one_or_isUnit_sub_oneproof · cited by 1