Theorems · Theorem · commutative algebra
Subsemiring.range_fst
∀ {R : Type u} {S : Type v} [inst : NonAssocSemiring R] [inst_1 : NonAssocSemiring S], (RingHom.fst R S).rangeS = ⊤- Defined in
- Mathlib.Algebra.Ring.Subsemiring.Basic
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- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- NonAssocSemiringstatement and proof · cited by 805
- Subsemiringstatement · cited by 456
- RingHom.rangeSstatement · cited by 47
- RingHom.fststatement and proof · cited by 36
- Prod.fst_surjectiveproof · cited by 22
- RingHom.rangeS_top_of_surjectiveproof · cited by 5
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