Theorems · Theorem · field theory

MonoidWithZeroHomClass.ext_nnrat_iff

∀ {M₀ : Type u_5} [inst : MonoidWithZero M₀] {f g : ℚ≥0 →*₀ M₀},
  f = g ↔
    f.comp (MonoidWithZeroHom.ofClass (Nat.castRingHom ℚ≥0)) = g.comp (MonoidWithZeroHom.ofClass (Nat.castRingHom ℚ≥0))

Defined in: Mathlib.Data.Rat.Cast.Defs
Cited by: 0 results in Mathlib
Foundations: Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: MonoidWithZero

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

RingHomstatement · cited by 10,189
MonoidWithZeroHomstatement and proof · cited by 704
NNRatstatement and proof · cited by 523
MonoidWithZerostatement and proof · cited by 456
MonoidWithZeroHom.ofClassstatement and proof · cited by 204
MonoidWithZeroHom.compstatement and proof · cited by 34
Nat.castRingHomstatement and proof · cited by 27
MonoidWithZeroHomClass.ext_nnratproof · cited by 1

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