Theorems · Theorem · number theory
ENat.one_epow
∀ {y : ℕ∞}, 1 ^ y = 1- Defined in
- Mathlib.Data.ENat.Pow
- Cited by
- 7 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.
Cites5
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
- one_powproof · cited by 521
- ENat.recTopCoeproof · cited by 75
- ENat.epow_natCastproof · cited by 5
Cited by7
Results whose statement or proof uses this declaration.
- ENat.epow_right_monoproof · cited by 3
- ENat.mul_epowproof · cited by 0
- ENat.epow_left_monoproof · 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