Theorems · Theorem · group theory
finprod_congr
∀ {M : Type u_2} {α : Sort u_4} [inst : CommMonoid M] {f g : α → M}, (∀ (x : α), f x = g x) → finprod f = finprod g- Defined in
- Mathlib.Algebra.BigOperators.Finprod
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidstatement and proof · cited by 2,264
- finprodstatement and proof · cited by 257
Cited by8
Results whose statement or proof uses this declaration.
- finprod_congr_Propproof · cited by 10
- finprod_mem_defproof · cited by 5
- finprod_mem_univproof · cited by 3
- FractionalIdeal.finprod_heightOneSpectrum_factorizationproof · cited by 2
- finprod_mem_congrproof · cited by 2
- finprod_dmemproof · cited by 1
- finprod_emb_domain'proof · cited by 1
- FractionalIdeal.finprod_heightOneSpectrum_factorization'proof · cited by 0