Theorems · Theorem · number theory
ZMod.val_pow
∀ {m n : ℕ} {a : ZMod n} [ilt : Fact (1 < n)], a.val ^ m < n → (a ^ m).val = a.val ^ m- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Factstatement and proof · cited by 2,726
- eq_or_neproof · cited by 1,117
- pow_zeroproof · cited by 1,094
- ZModstatement and proof · cited by 1,024
- lt_of_le_of_ltproof · cited by 432
- pow_succproof · cited by 374
- zero_powproof · cited by 361
- Fact.outproof · cited by 328
- ZMod.valstatement and proof · cited by 159
- ZMod.val_zeroproof · cited by 12
- ZMod.val_oneproof · cited by 6
- ZMod.val_mulproof · cited by 5
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