Theorems · Theorem · group theory
pow_ite
∀ {α : Type u_1} {β : Type u_2} [inst : Pow α β] (p : Prop) [inst_1 : Decidable p] (a : α) (b c : β),
(a ^ if p then b else c) = if p then a ^ b else a ^ c- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- pow_diteproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Finset.subset_mulSpanproof · cited by 1
- Submonoid.mem_closure_iff_exists_finset_subsetproof · cited by 1
- Finset.prod_div_prod_mem_mulSpanproof · cited by 1
- Finset.prod_pow_booleproof · cited by 0
- pow_booleproof · cited by 0