Theorems · Theorem · number theory
ENat.epow_zero
∀ {x : ℕ∞}, x ^ 0 = 1- Defined in
- Mathlib.Data.ENat.Pow
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENatstatement and proof · cited by 4,985
- pow_zeroproof · cited by 1,094
- ENat.natCast_zeroproof · cited by 7
- ENat.epow_natCastproof · cited by 5
Cited by6
Results whose statement or proof uses this declaration.
- ENat.one_le_epowproof · cited by 2
- ENat.epow_eq_zero_iffproof · cited by 0
- ENat.epow_mulproof · cited by 0
- ENat.card_funproof · cited by 0
- ENat.epow_addproof · cited by 0
- ENat.epow_eq_one_iffproof · cited by 0