Theorems · Theorem · number theory
ENat.mul_epow
∀ {x y z : ℕ∞}, (x * y) ^ z = x ^ z * y ^ z- Defined in
- Mathlib.Data.ENat.Pow
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- ENatstatement and proof · cited by 4,985
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- LT.lt.leproof · cited by 2,189
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- mul_powproof · cited by 220
- lt_trichotomyproof · cited by 178
- ENat.recTopCoeproof · cited by 75
- Order.lt_one_iffproof · cited by 14
- ENat.mul_topproof · cited by 9
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