Theorems · Theorem · commutative algebra
IsBaseChange.finsuppPow
∀ {R : Type u_1} {S : Type u_2} [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : Algebra R S] (ι : Type u_3)
{M : Type u_6} {M' : Type u_7} [inst_3 : AddCommMonoid M] [inst_4 : AddCommMonoid M'] [inst_5 : Module R M]
[inst_6 : Module R M'] [inst_7 : Module S M'] [inst_8 : IsScalarTower R S M'] {ε : M →ₗ[R] M'},
IsBaseChange S ε → IsBaseChange S (Finsupp.mapRange.linearMap ε)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement and proof · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- IsScalarTowerstatement and proof · cited by 3,896
- LinearEquiv.symmproof · cited by 1,461
- one_smulproof · cited by 1,374
- TensorProduct.tmulproof · cited by 1,182
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