Theorems · Theorem · logic and foundations
Cardinal.power_zero
∀ (a : Cardinal.{u_1}), a ^ 0 = 1- Defined in
- Mathlib.SetTheory.Cardinal.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- Cardinal.inductionOnproof · cited by 19
- Cardinal.mk_eq_oneproof · cited by 14
Cited by4
Results whose statement or proof uses this declaration.
- Cardinal.pow_leproof · cited by 5
- WType.cardinalMk_le_max_aleph0_of_finite'proof · cited by 2
- Cardinal.zero_power_leproof · cited by 1
- Cardinal.zero_powerltproof · cited by 0