Mathlib Map

Theorems · Theorem · group theory

Subgroup.card_mapSubgroup

∀ {G : Type u_1} [inst : Group G] (H : Subgroup G) {G' : Type u_3} [inst_1 : Group G'] (e : G ≃* G'),
  Nat.card ↥(e.mapSubgroup H) = Nat.card ↥H
Defined in
Mathlib.Algebra.Group.Subgroup.Finite
Cited by
1 results in Mathlib
Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupGroup
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MulChar.card_subgroupOrderIsoSubgroupMulChar · cited by 1MulChar.card_subgroupOrde…DFunLike.coe · cited by 62936DFunLike.coeGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupMulEquiv · cited by 1142MulEquivOrderIso · cited by 874OrderIsoNat.card · cited by 844Nat.cardMulEquiv.injective · cited by 36MulEquiv.injectiveMulEquiv.mapSubgroup · cited by 11MulEquiv.mapSubgroupSubgroup.card_map_of_injective · cited by 2Subgroup.card_map_of_inje…Subgroup.card_mapSubgroupCITED BYCITES

Cites9

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Cited by1

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